Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties

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Author :
Publisher : Springer
ISBN 13 : 3540483381
Total Pages : 207 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties by : Lothar Göttsche

Download or read book Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties written by Lothar Göttsche and published by Springer. This book was released on 2006-11-15 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry. The main aim here is to describe their cohomology and Chow rings. Some enumerative applications are also given. The Weil conjectures are used to compute the Betti numbers of many of the varieties considered, thus also illustrating how this powerful tool can be applied. The book is essentially self-contained, assuming only a basic knowledge of algebraic geometry; it is intended both for graduate students and research mathematicians interested in Hilbert schemes, enumertive geometry and moduli spaces.

Zero-Dimensional Schemes

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110889269
Total Pages : 348 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Zero-Dimensional Schemes by : Ferruccio Orecchia

Download or read book Zero-Dimensional Schemes written by Ferruccio Orecchia and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-11-21 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Queen's Papers in Pure and Applied Mathematics

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Publisher :
ISBN 13 : 9780889118706
Total Pages : 276 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Queen's Papers in Pure and Applied Mathematics by : Queen's University (Kingston, Ont.)

Download or read book Queen's Papers in Pure and Applied Mathematics written by Queen's University (Kingston, Ont.) and published by . This book was released on 2002 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Zero Dimensional Scheme Defined by the Intersection of Two Curve Singularities

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Publisher :
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis The Zero Dimensional Scheme Defined by the Intersection of Two Curve Singularities by : J. Elias

Download or read book The Zero Dimensional Scheme Defined by the Intersection of Two Curve Singularities written by J. Elias and published by . This book was released on 1992 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hilbert Functions of Zero-dimensional Schemes in Uniform Position

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Author :
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (269 download)

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Book Synopsis Hilbert Functions of Zero-dimensional Schemes in Uniform Position by : Karen Anne Chandler

Download or read book Hilbert Functions of Zero-dimensional Schemes in Uniform Position written by Karen Anne Chandler and published by . This book was released on 1992 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Geometry of Schemes

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226397
Total Pages : 265 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Geometry of Schemes by : David Eisenbud

Download or read book The Geometry of Schemes written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.

Hilbert Functions of Zero-dimensional Schemes in Uniform Position [microform]

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Author :
Publisher : Ann Arbor, Mich. : University Microfilms International
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (269 download)

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Book Synopsis Hilbert Functions of Zero-dimensional Schemes in Uniform Position [microform] by : Chandler, Karen Anne

Download or read book Hilbert Functions of Zero-dimensional Schemes in Uniform Position [microform] written by Chandler, Karen Anne and published by Ann Arbor, Mich. : University Microfilms International. This book was released on 1992 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Castelnuvo Function, Zero-dimensional Schemes and Singular Plane Curves

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (863 download)

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Book Synopsis Castelnuvo Function, Zero-dimensional Schemes and Singular Plane Curves by : Gert-Martin Greuel

Download or read book Castelnuvo Function, Zero-dimensional Schemes and Singular Plane Curves written by Gert-Martin Greuel and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Algebraic Curves

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Publisher : Springer
ISBN 13 : 3030033503
Total Pages : 553 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Singular Algebraic Curves by : Gert-Martin Greuel

Download or read book Singular Algebraic Curves written by Gert-Martin Greuel and published by Springer. This book was released on 2018-12-30 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified approach to the geometry of singular algebraic curves on algebraic surfaces and their families, which applies to arbitrary singularities, allows one to treat all main questions concerning the geometry of equisingular families of curves, and, finally, leads to results which can be viewed as the best possible in a reasonable sense. Various methods of the cohomology vanishing theory as well as the patchworking construction with its modifications will be of a special interest for experts in algebraic geometry and singularity theory. The introductory chapters on zero-dimensional schemes and global deformation theory can well serve as a material for special courses and seminars for graduate and post-graduate students.Geometry in general plays a leading role in modern mathematics, and algebraic geometry is the most advanced area of research in geometry. In turn, algebraic curves for more than one century have been the central subject of algebraic geometry both in fundamental theoretic questions and in applications to other fields of mathematics and mathematical physics. Particularly, the local and global study of singular algebraic curves involves a variety of methods and deep ideas from geometry, analysis, algebra, combinatorics and suggests a number of hard classical and newly appeared problems which inspire further development in this research area.

Syzygies and Hilbert Functions

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Publisher : CRC Press
ISBN 13 : 1420050915
Total Pages : 305 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Syzygies and Hilbert Functions by : Irena Peeva

Download or read book Syzygies and Hilbert Functions written by Irena Peeva and published by CRC Press. This book was released on 2007-03-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts.

Mathematical Aspects of Computer and Information Sciences

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Publisher : Springer
ISBN 13 : 331932859X
Total Pages : 631 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Mathematical Aspects of Computer and Information Sciences by : Ilias S. Kotsireas

Download or read book Mathematical Aspects of Computer and Information Sciences written by Ilias S. Kotsireas and published by Springer. This book was released on 2016-04-16 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015, held in Berlin, Germany, in November 2015. The 48 revised papers presented together with 7 invited papers were carefully reviewed and selected from numerous submissions. The papers are grouped in topical sections on curves and surfaces, applied algebraic geometry, cryptography, verified numerical computation, polynomial system solving, managing massive data, computational theory of differential and difference equations, data and knowledge exploration, algorithm engineering in geometric computing, real complexity: theory and practice, global optimization, and general session.

New Developments in Singularity Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9401008345
Total Pages : 470 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis New Developments in Singularity Theory by : Dirk Wiersma

Download or read book New Developments in Singularity Theory written by Dirk Wiersma and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularities arise naturally in a huge number of different areas of mathematics and science. As a consequence, singularity theory lies at the crossroads of paths that connect many of the most important areas of applications of mathematics with some of its most abstract regions. The main goal in most problems of singularity theory is to understand the dependence of some objects of analysis, geometry, physics, or other science (functions, varieties, mappings, vector or tensor fields, differential equations, models, etc.) on parameters. The articles collected here can be grouped under three headings. (A) Singularities of real maps; (B) Singular complex variables; and (C) Singularities of homomorphic maps.

Issues in General and Specialized Mathematics Research: 2011 Edition

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Publisher : ScholarlyEditions
ISBN 13 : 1464964920
Total Pages : 1326 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in General and Specialized Mathematics Research: 2011 Edition by :

Download or read book Issues in General and Specialized Mathematics Research: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 1326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in General and Specialized Mathematics Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General and Specialized Mathematics Research. The editors have built Issues in General and Specialized Mathematics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General and Specialized Mathematics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Decomposability of Tensors

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Publisher : MDPI
ISBN 13 : 3038975907
Total Pages : 161 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Decomposability of Tensors by : Luca Chiantini

Download or read book Decomposability of Tensors written by Luca Chiantini and published by MDPI. This book was released on 2019-02-15 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Decomposability of Tensors" that was published in Mathematics

Power Sums, Gorenstein Algebras, and Determinantal Loci

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Publisher : Springer
ISBN 13 : 3540467076
Total Pages : 365 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Power Sums, Gorenstein Algebras, and Determinantal Loci by : Anthony Iarrobino

Download or read book Power Sums, Gorenstein Algebras, and Determinantal Loci written by Anthony Iarrobino and published by Springer. This book was released on 2006-11-14 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms. The first two chapters are introductory, and focus on binary forms and Waring's problem. Then the author's recent work is presented mainly on the representation of forms in three or more variables as sums of powers of relatively few linear forms. The methods used are drawn from seemingly unrelated areas of commutative algebra and algebraic geometry, including the theories of determinantal varieties, of classifying spaces of Gorenstein-Artin algebras, and of Hilbert schemes of zero-dimensional subschemes. Of the many concrete examples given, some are calculated with the aid of the computer algebra program "Macaulay", illustrating the abstract material. The final chapter considers open problems. This book will be of interest to graduate students, beginning researchers, and seasoned specialists. Prerequisite is a basic knowledge of commutative algebra and algebraic geometry.

Hilbert Schemes of Points and Infinite Dimensional Lie Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 1470441888
Total Pages : 351 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Hilbert Schemes of Points and Infinite Dimensional Lie Algebras by : Zhenbo Qin

Download or read book Hilbert Schemes of Points and Infinite Dimensional Lie Algebras written by Zhenbo Qin and published by American Mathematical Soc.. This book was released on 2018-02-26 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert schemes, which parametrize subschemes in algebraic varieties, have been extensively studied in algebraic geometry for the last 50 years. The most interesting class of Hilbert schemes are schemes of collections of points (zero-dimensional subschemes) in a smooth algebraic surface . Schemes turn out to be closely related to many areas of mathematics, such as algebraic combinatorics, integrable systems, representation theory, and mathematical physics, among others. This book surveys recent developments of the theory of Hilbert schemes of points on complex surfaces and its interplay with infinite dimensional Lie algebras. It starts with the basics of Hilbert schemes of points and presents in detail an example of Hilbert schemes of points on the projective plane. Then the author turns to the study of cohomology of , including the construction of the action of infinite dimensional Lie algebras on this cohomology, the ring structure of cohomology, equivariant cohomology of and the Gromov–Witten correspondence. The last part of the book presents results about quantum cohomology of and related questions. The book is of interest to graduate students and researchers in algebraic geometry, representation theory, combinatorics, topology, number theory, and theoretical physics.

Algebraic Geometry and Number Theory

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Publisher : Birkhäuser
ISBN 13 : 331947779X
Total Pages : 240 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Algebraic Geometry and Number Theory by : Hussein Mourtada

Download or read book Algebraic Geometry and Number Theory written by Hussein Mourtada and published by Birkhäuser. This book was released on 2017-05-07 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology. Its main aim is to introduce these contemporary research topics to graduate students who plan to specialize in the area of algebraic geometry and/or number theory. All contributions combine main concepts and techniques with motivating examples and illustrative problems for the covered subjects. Naturally, the book will also be of interest to researchers working in algebraic geometry, number theory and related fields.