Real Algebraic Surfaces

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Publisher : Springer
ISBN 13 : 3540706496
Total Pages : 226 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Real Algebraic Surfaces by : Robert Silhol

Download or read book Real Algebraic Surfaces written by Robert Silhol and published by Springer. This book was released on 2006-11-14 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Real Algebraic Varieties

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Author :
Publisher : Springer Nature
ISBN 13 : 3030431045
Total Pages : 453 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Real Algebraic Varieties by : Frédéric Mangolte

Download or read book Real Algebraic Varieties written by Frédéric Mangolte and published by Springer Nature. This book was released on 2020-09-21 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous.They are the first objects encountered when learning of coordinates, then equations, but the systematic study of these objects, however elementary they may be, is formidable. This book is intended for two kinds of audiences: it accompanies the reader, familiar with algebra and geometry at the masters level, in learning the basics of this rich theory, as much as it brings to the most advanced reader many fundamental results often missing from the available literature, the “folklore”. In particular, the introduction of topological methods of the theory to non-specialists is one of the original features of the book. The first three chapters introduce the basis and classical methods of real and complex algebraic geometry. The last three chapters each focus on one more specific aspect of real algebraic varieties. A panorama of classical knowledge is presented, as well as major developments of the last twenty years in the topology and geometry of varieties of dimension two and three, without forgetting curves, the central subject of Hilbert's famous sixteenth problem. Various levels of exercises are given, and the solutions of many of them are provided at the end of each chapter.

Real Enriques Surfaces

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Publisher : Springer
ISBN 13 : 3540399488
Total Pages : 275 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Real Enriques Surfaces by : Alexander Degtyarev

Download or read book Real Enriques Surfaces written by Alexander Degtyarev and published by Springer. This book was released on 2007-05-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation. Simple explicit topological invariants are elaborated for identifying the deformation classes of real Enriques surfaces. Some of theses are new and can be applied to other classes of surfaces or higher-dimensional varieties. Intended for researchers and graduate students in real algebraic geometry it may also interest others who want to become familiar with the field and its techniques. The study relies on topology of involutions, arithmetics of integral quadratic forms, algebraic geometry of surfaces, and the hyperkähler structure of K3-surfaces. A comprehensive summary of the necessary results and techniques from each of these fields is included. Some results are developed further, e.g., a detailed study of lattices with a pair of commuting involutions and a certain class of rational complex surfaces.

On the Typology of Real Algebraic Surfaces

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Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (778 download)

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Book Synopsis On the Typology of Real Algebraic Surfaces by : Ivan Georgievich Petrovskiĭ

Download or read book On the Typology of Real Algebraic Surfaces written by Ivan Georgievich Petrovskiĭ and published by . This book was released on 1958 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Algebraic Surfaces

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Publisher : Cambridge University Press
ISBN 13 : 9780521498425
Total Pages : 148 pages
Book Rating : 4.4/5 (984 download)

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Book Synopsis Complex Algebraic Surfaces by : Arnaud Beauville

Download or read book Complex Algebraic Surfaces written by Arnaud Beauville and published by Cambridge University Press. This book was released on 1996-06-28 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch of mathematics. In this book Professor BeauviIle gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern topology and sheaf theory, so as to be accessible to any budding geometer. This volume is self contained and the exercises succeed both in giving the flavour of the extraordinary wealth of examples in the classical subject, and in equipping the reader with most of the techniques needed for research.

On the Topology of Real Algebraic Surfaces

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Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (967 download)

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Book Synopsis On the Topology of Real Algebraic Surfaces by : Ivan Georgievich Petrovskiĭ

Download or read book On the Topology of Real Algebraic Surfaces written by Ivan Georgievich Petrovskiĭ and published by . This book was released on 1952 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Curves and Riemann Surfaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821802682
Total Pages : 414 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Curves and Riemann Surfaces by : Rick Miranda

Download or read book Algebraic Curves and Riemann Surfaces written by Rick Miranda and published by American Mathematical Soc.. This book was released on 1995 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking centre stage. But the main examples come fromprojective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Dualtiy Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves andcohomology are introduced as a unifying device in the later chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one term of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-term course in complex variables or a year-long course in algebraic geometry.

Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59

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Publisher : Princeton University Press
ISBN 13 : 1400882060
Total Pages : 212 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 by : David Mumford

Download or read book Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 written by David Mumford and published by Princeton University Press. This book was released on 2016-03-02 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.

Polynomial Methods and Incidence Theory

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Publisher : Cambridge University Press
ISBN 13 : 1108832490
Total Pages : 263 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Polynomial Methods and Incidence Theory by : Adam Sheffer

Download or read book Polynomial Methods and Incidence Theory written by Adam Sheffer and published by Cambridge University Press. This book was released on 2022-03-24 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough yet accessible introduction to the mathematical breakthroughs achieved by using new polynomial methods in the past decade.

Moduli of Riemann Surfaces, Real Algebraic Curves, and Their Superanalogs

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821889657
Total Pages : 172 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Moduli of Riemann Surfaces, Real Algebraic Curves, and Their Superanalogs by : S. M. Natanzon

Download or read book Moduli of Riemann Surfaces, Real Algebraic Curves, and Their Superanalogs written by S. M. Natanzon and published by American Mathematical Soc.. This book was released on with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The space of all Riemann surfaces (the so-called moduli space) plays an important role in algebraic geometry and its applications to quantum field theory. This book focuses on the study of topological properties of this space and of similar moduli spaces, such as the space of real algebraic curves, and the space of mappings.

Topology, Ergodic Theory, Real Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821827406
Total Pages : 300 pages
Book Rating : 4.8/5 (274 download)

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Book Synopsis Topology, Ergodic Theory, Real Algebraic Geometry by : Vladimir G. Turaev

Download or read book Topology, Ergodic Theory, Real Algebraic Geometry written by Vladimir G. Turaev and published by American Mathematical Soc.. This book was released on 2001 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (1919-1984). It is a collection of research papers written by his former students and followers, who are now experts in their fields. The topics in this volume include topology (the Morse-Novikov theory, spin bordisms in dimension 6, and skein modules of links), real algebraic geometry (real algebraic curves, plane algebraic surfaces, algebraic links, and complex orientations), dynamics (ergodicity, amenability, and random bundle transformations), geometry of Riemannian manifolds, theory of Teichmuller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles which should prove of historical interest.

Algebraic Surfaces and Holomorphic Vector Bundles

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Publisher : Springer Science & Business Media
ISBN 13 : 1461216885
Total Pages : 333 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Algebraic Surfaces and Holomorphic Vector Bundles by : Robert Friedman

Download or read book Algebraic Surfaces and Holomorphic Vector Bundles written by Robert Friedman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel feature of the book is its integrated approach to algebraic surface theory and the study of vector bundle theory on both curves and surfaces. While the two subjects remain separate through the first few chapters, they become much more tightly interconnected as the book progresses. Thus vector bundles over curves are studied to understand ruled surfaces, and then reappear in the proof of Bogomolov's inequality for stable bundles, which is itself applied to study canonical embeddings of surfaces via Reider's method. Similarly, ruled and elliptic surfaces are discussed in detail, before the geometry of vector bundles over such surfaces is analysed. Many of the results on vector bundles appear for the first time in book form, backed by many examples, both of surfaces and vector bundles, and over 100 exercises forming an integral part of the text. Aimed at graduates with a thorough first-year course in algebraic geometry, as well as more advanced students and researchers in the areas of algebraic geometry, gauge theory, or 4-manifold topology, many of the results on vector bundles will also be of interest to physicists studying string theory.

Real Algebraic Geometry and Ordered Structures

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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.

Real Algebraic Geometry

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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.

Complex Orientations and Spin-structures of Real Algebraic Surfaces of Degree 4

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Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Complex Orientations and Spin-structures of Real Algebraic Surfaces of Degree 4 by : A. Marinichev

Download or read book Complex Orientations and Spin-structures of Real Algebraic Surfaces of Degree 4 written by A. Marinichev and published by . This book was released on 1996 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topology of real algebraic varieties and related topics

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821805558
Total Pages : 276 pages
Book Rating : 4.8/5 (55 download)

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Book Synopsis Topology of real algebraic varieties and related topics by : V. Kharlamov

Download or read book Topology of real algebraic varieties and related topics written by V. Kharlamov and published by American Mathematical Soc.. This book was released on 1996 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithms in Real Algebraic Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 3662053551
Total Pages : 602 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Algorithms in Real Algebraic Geometry by : Saugata Basu

Download or read book Algorithms in Real Algebraic Geometry written by Saugata Basu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. This self-contained book is accessible to graduate and undergraduate students.