Recent Advances In Real Algebraic Geometry And Quadratic Forms

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Recent Advances in Real Algebraic Geometry and Quadratic Forms

Author : Bill Jacob
Publisher : American Mathematical Soc.
ISBN 13 : 0821851543
Total Pages : 405 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Advances in Real Algebraic Geometry and Quadratic Forms by : Bill Jacob

Download or read book Recent Advances in Real Algebraic Geometry and Quadratic Forms written by Bill Jacob and published by American Mathematical Soc.. This book was released on 1994 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume grew out of a year-long program in ``Real Algebraic Geometry and Quadratic Forms'', held at the University of California at Berkeley during the 1990-1991 academic year. This valuable collection of research articles by top workers serves as a record of current developments in these areas and as a tribute to the fruitful interaction between them. Students and researchers alike will find this book a useful reference, with articles ranging from the technical to the expository. Also included are summaries of the current developments in several sub-disciplines and indications of new research directions.

Quadratic Forms, Linear Algebraic Groups, and Cohomology

Author : Skip Garibaldi
Publisher : Springer Science & Business Media
ISBN 13 : 1441962115
Total Pages : 348 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Quadratic Forms, Linear Algebraic Groups, and Cohomology by : Skip Garibaldi

Download or read book Quadratic Forms, Linear Algebraic Groups, and Cohomology written by Skip Garibaldi and published by Springer Science & Business Media. This book was released on 2010-07-16 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in Mathematics is a book series devoted to all areas of mathematics, pure and applied. The series emphasizes research monographs describing the latest advances. Edited volumes that focus on areas that have seen dramatic progress, or are of special interest, are encouraged as well.

The Algebraic and Geometric Theory of Quadratic Forms

Author : Richard S. Elman
Publisher : American Mathematical Soc.
ISBN 13 : 9780821873229
Total Pages : 456 pages
Book Rating : 4.8/5 (732 download)

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Book Synopsis The Algebraic and Geometric Theory of Quadratic Forms by : Richard S. Elman

Download or read book The Algebraic and Geometric Theory of Quadratic Forms written by Richard S. Elman and published by American Mathematical Soc.. This book was released on 2008-07-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive study of the algebraic theory of quadratic forms, from classical theory to recent developments, including results and proofs that have never been published. The book is written from the viewpoint of algebraic geometry and includes the theory of quadratic forms over fields of characteristic two, with proofs that are characteristic independent whenever possible. For some results both classical and geometric proofs are given. Part I includes classical algebraic theory of quadratic and bilinear forms and answers many questions that have been raised in the early stages of the development of the theory. Assuming only a basic course in algebraic geometry, Part II presents the necessary additional topics from algebraic geometry including the theory of Chow groups, Chow motives, and Steenrod operations. These topics are used in Part III to develop a modern geometric theory of quadratic forms.

Quadratic Forms -- Algebra, Arithmetic, and Geometry

Author : Ricardo Baeza
Publisher : American Mathematical Soc.
ISBN 13 : 0821846485
Total Pages : 424 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quadratic Forms -- Algebra, Arithmetic, and Geometry by : Ricardo Baeza

Download or read book Quadratic Forms -- Algebra, Arithmetic, and Geometry written by Ricardo Baeza and published by American Mathematical Soc.. This book was released on 2009-08-14 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007. The theory of quadratic forms is closely connected with a broad spectrum of areas in algebra and number theory. The articles in this volume deal mainly with questions from the algebraic, geometric, arithmetic, and analytic theory of quadratic forms, and related questions in algebraic group theory and algebraic geometry.

Quadratic Forms with Applications to Algebraic Geometry and Topology

Author : Albrecht Pfister
Publisher : Cambridge University Press
ISBN 13 : 0521467551
Total Pages : 191 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Quadratic Forms with Applications to Algebraic Geometry and Topology by : Albrecht Pfister

Download or read book Quadratic Forms with Applications to Algebraic Geometry and Topology written by Albrecht Pfister and published by Cambridge University Press. This book was released on 1995-09-28 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: A gem of a book bringing together 30 years worth of results that are certain to interest anyone whose research touches on quadratic forms.

Real Algebraic Geometry

Author : Michel Coste
Publisher : Springer
ISBN 13 : 3540473378
Total Pages : 425 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Real Algebraic Geometry by : Michel Coste

Download or read book Real Algebraic Geometry written by Michel Coste and published by Springer. This book was released on 2006-11-15 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years after the first Rennes international meeting on real algebraic geometry, the second one looked at the developments in the subject during the intervening decade - see the 6 survey papers listed below. Further contributions from the participants on recent research covered real algebra and geometry, topology of real algebraic varieties and 16thHilbert problem, classical algebraic geometry, techniques in real algebraic geometry, algorithms in real algebraic geometry, semialgebraic geometry, real analytic geometry. CONTENTS: Survey papers: M. Knebusch: Semialgebraic topology in the last ten years.- R. Parimala: Algebraic and topological invariants of real algebraic varieties.- Polotovskii, G.M.: On the classification of decomposing plane algebraic curves.- Scheiderer, C.: Real algebra and its applications to geometry in the last ten years: some major developments and results.- Shustin, E.L.: Topology of real plane algebraic curves.- Silhol, R.: Moduli problems in real algebraic geometry. Further contributions by: S. Akbulut and H. King; C. Andradas and J. Ruiz; A. Borobia; L. Br|cker; G.W. Brumfield; A. Castilla; Z. Charzynski and P. Skibinski; M. Coste and M. Reguiat; A. Degtyarev; Z. Denkowska; J.-P. Francoise and F. Ronga; J.M. Gamboa and C. Ueno; D. Gondard- Cozette; I.V. Itenberg; P. Jaworski; A. Korchagin; T. Krasinksi and S. Spodzieja; K. Kurdyka; H. Lombardi; M. Marshall and L. Walter; V.F. Mazurovskii; G. Mikhalkin; T. Mostowski and E. Rannou; E.I. Shustin; N. Vorobjov.

K-theory and Algebraic Geometry

Author : Bill Jacob
Publisher : American Mathematical Soc.
ISBN 13 : 0821803409
Total Pages : 444 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis K-theory and Algebraic Geometry by : Bill Jacob

Download or read book K-theory and Algebraic Geometry written by Bill Jacob and published by American Mathematical Soc.. This book was released on 1995 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2 of two - also available in a set of both volumes.

Real Algebraic Geometry and Ordered Structures

Author : Charles N. Delzell
Publisher : American Mathematical Soc.
ISBN 13 : 0821808044
Total Pages : 320 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Real Algebraic Geometry and Ordered Structures by : Charles N. Delzell

Download or read book Real Algebraic Geometry and Ordered Structures written by Charles N. Delzell and published by American Mathematical Soc.. This book was released on 2000 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 16 carefully refereed articles by participants in the Special Semester and the AMS Special Session on Real Algebraic Geometry and Ordered Structures held at Louisiana State University and Southern University (Baton Rouge). The 23 contributors to this volume were among the 75 mathematicians from 15 countries who participated in the special semester. Topics include the topology of real algebraic curves (Hilbert's 16th problem), moduli of real algebraic curves, effective sums of squares of real forms (Hilbert's 17th problem), efficient real quantifier elimination, subanalytic sets and stratifications, semialgebraic singularity theory, radial vector fields, exponential functions and valuations on nonarchimedean ordered fields, valued field extensions, partially ordered and lattice-ordered rings, rings of continuous functions, spectra of rings, and abstract spaces of (higher-level) orderings and real places. This volume provides a good overview of the state of the art in this area in the 1990s. It includes both expository and original research papers by top workers in this thriving field. The authors and editors strived to make the volume useful to a wide audience (including students and researchers) interested in real algebraic geometry and ordered structures-two subjects that are obviously related, but seldom brought together.

Geometric Methods in the Algebraic Theory of Quadratic Forms

Author : Oleg T. Izhboldin
Publisher : Springer
ISBN 13 : 3540409904
Total Pages : 198 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Geometric Methods in the Algebraic Theory of Quadratic Forms by : Oleg T. Izhboldin

Download or read book Geometric Methods in the Algebraic Theory of Quadratic Forms written by Oleg T. Izhboldin and published by Springer. This book was released on 2004-02-07 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields. Function fields of quadrics have been central to the proofs of fundamental results since the 1960's. Recently, more refined geometric tools have been brought to bear on this topic, such as Chow groups and motives, and have produced remarkable advances on a number of outstanding problems. Several aspects of these new methods are addressed in this volume, which includes an introduction to motives of quadrics by A. Vishik, with various applications, notably to the splitting patterns of quadratic forms, papers by O. Izhboldin and N. Karpenko on Chow groups of quadrics and their stable birational equivalence, with application to the construction of fields with u-invariant 9, and a contribution in French by B. Kahn which lays out a general framework for the computation of the unramified cohomology groups of quadrics and other cellular varieties.

Ordered Fields and Real Algebraic Geometry

Author : American Mathematical Society. Meeting
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Ordered Fields and Real Algebraic Geometry by : American Mathematical Society. Meeting

Download or read book Ordered Fields and Real Algebraic Geometry written by American Mathematical Society. Meeting and published by . This book was released on 1982 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bilinear Algebra

Author : Kazimierz Szymiczek
Publisher : Routledge
ISBN 13 : 1351464205
Total Pages : 413 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Bilinear Algebra by : Kazimierz Szymiczek

Download or read book Bilinear Algebra written by Kazimierz Szymiczek and published by Routledge. This book was released on 2017-11-22 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Giving an easily accessible elementary introduction to the algebraic theory of quadratic forms, this book covers both Witt's theory and Pfister's theory of quadratic forms. Leading topics include the geometry of bilinear spaces, classification of bilinear spaces up to isometry depending on the ground field, formally real fields, Pfister forms, the Witt ring of an arbitrary field (characteristic two included), prime ideals of the Witt ring, Brauer group of a field, Hasse and Witt invariants of quadratic forms, and equivalence of fields with respect to quadratic forms. Problem sections are included at the end of each chapter. There are two appendices: the first gives a treatment of Hasse and Witt invariants in the language of Steinberg symbols, and the second contains some more advanced problems in 10 groups, including the u-invariant, reduced and stable Witt rings, and Witt equivalence of fields.

Compositions of Quadratic Forms

Author : Daniel B. Shapiro
Publisher : Walter de Gruyter
ISBN 13 : 3110824833
Total Pages : 433 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Compositions of Quadratic Forms by : Daniel B. Shapiro

Download or read book Compositions of Quadratic Forms written by Daniel B. Shapiro and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Real Algebraic Geometry and Topology

Author : Selman Akbulut
Publisher : American Mathematical Soc.
ISBN 13 : 0821802925
Total Pages : 158 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Real Algebraic Geometry and Topology by : Selman Akbulut

Download or read book Real Algebraic Geometry and Topology written by Selman Akbulut and published by American Mathematical Soc.. This book was released on 1995 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the Real Algebraic Geometry-Topology Conference, held at Michigan State University in December 1993. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, algebraic structures, topology of nonsingular real algebraic sets, and the distribution of real algebraic sets in projective space.

Introduction to Quadratic Forms over Fields

Author : Tsit-Yuen Lam
Publisher : American Mathematical Soc.
ISBN 13 : 0821810952
Total Pages : 577 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Quadratic Forms over Fields by : Tsit-Yuen Lam

Download or read book Introduction to Quadratic Forms over Fields written by Tsit-Yuen Lam and published by American Mathematical Soc.. This book was released on 2005 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new version of the author's prizewinning book, Algebraic Theory of Quadratic Forms (W. A. Benjamin, Inc., 1973), gives a modern and self-contained introduction to the theory of quadratic forms over fields of characteristic different from two. Starting with few prerequisites beyond linear algebra, the author charts an expert course from Witt's classical theory of quadratic forms, quaternion and Clifford algebras, Artin-Schreier theory of formally real fields, and structural theorems on Witt rings, to the theory of Pfister forms, function fields, and field invariants. These main developments are seamlessly interwoven with excursions into Brauer-Wall groups, local and global fields, trace forms, Galois theory, and elementary algebraic K-theory, to create a uniquely original treatment of quadratic form theory over fields. Two new chapters totaling more than 100 pages have been added to the earlier incarnation of this book to take into account some of the newer results and more recent viewpoints in the area. As is characteristic of this author's expository style, the presentation of the main material in this book is interspersed with a copious number of carefully chosen examples to illustrate the general theory. This feature, together with a rich stock of some 280 exercises for the thirteen chapters, greatly enhances the pedagogical value of this book, both as a graduate text and as a reference work for researchers in algebra, number theory, algebraic geometry, algebraic topology, and geometric topology.

Handbook of Algebra

Author : M. Hazewinkel
Publisher : Elsevier
ISBN 13 : 9780080932811
Total Pages : 592 pages
Book Rating : 4.9/5 (328 download)

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Book Synopsis Handbook of Algebra by : M. Hazewinkel

Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2009-07-08 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes

Commutative Algebra

Author : Irena Peeva
Publisher : Springer Nature
ISBN 13 : 3030896943
Total Pages : 898 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Commutative Algebra by : Irena Peeva

Download or read book Commutative Algebra written by Irena Peeva and published by Springer Nature. This book was released on 2022-02-18 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Category Theory, Combinatorics, Computational Algebra, Homological Algebra, Hyperplane Arrangements, and Non-commutative Algebra. The book aims to showcase the area and aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.

Real Algebraic Geometry and Ordered Structures

Author : Charles N. Delzell
Publisher : American Mathematical Soc.
ISBN 13 : 9780821855898
Total Pages : 324 pages
Book Rating : 4.8/5 (558 download)

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Book Synopsis Real Algebraic Geometry and Ordered Structures by : Charles N. Delzell

Download or read book Real Algebraic Geometry and Ordered Structures written by Charles N. Delzell and published by American Mathematical Soc.. This book was released on 2000-01-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains 16 papers from an April 1996 meeting by 23 contributors, providing an overview of the field and encompassing both expository and original research. Topics include topology of real algebraic curves, effective sums of squares of real forms, efficient real quantifier elimination, subanalytic sets and stratifications, semialgebraic singularity theory, and radial vector fields. Other subjects are exponential functions and valuations on nonarchimedean ordered fields, valued field extensions, and abstract spaces of higher-level orderings and real places. Lacks a subject index.