Zero Dimensional Schemes
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Hilbert Schemes Of Zero Dimensional Subschemes Of Smooth Varieties
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Author : Lothar Göttsche
language : en
Publisher: Springer
Release Date : 2006-11-15
Hilbert Schemes Of Zero Dimensional Subschemes Of Smooth Varieties written by Lothar Göttsche and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
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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Author : Ferruccio Orecchia
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-11-21
Zero Dimensional Schemes written by Ferruccio Orecchia and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-21 with Mathematics categories.
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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Author : Queen's University (Kingston, Ont.)
language : en
Publisher:
Release Date : 2002
Queen S Papers In Pure And Applied Mathematics written by Queen's University (Kingston, Ont.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
On Zero Dimensional Schemes With Special Hilbert Functions
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Author : Ivan Petrakiev
language : en
Publisher:
Release Date : 2006
On Zero Dimensional Schemes With Special Hilbert Functions written by Ivan Petrakiev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Hilbert schemes categories.
Hilbert Functions Of Zero Dimensional Schemes In Uniform Position
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Author : Karen Anne Chandler
language : en
Publisher:
Release Date : 1992
Hilbert Functions Of Zero Dimensional Schemes In Uniform Position written by Karen Anne Chandler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Curves categories.
Hilbert Functions Of Zero Dimensional Schemes In Uniform Position Microform
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Author : Chandler, Karen Anne
language : en
Publisher: Ann Arbor, Mich. : University Microfilms International
Release Date : 1992
Hilbert Functions Of Zero Dimensional Schemes In Uniform Position Microform written by Chandler, Karen Anne and has been published by Ann Arbor, Mich. : University Microfilms International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Curves categories.
The Zero Dimensional Scheme Defined By The Intersection Of Two Curve Singularities
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Author : J. Elias
language : en
Publisher:
Release Date : 1992
The Zero Dimensional Scheme Defined By The Intersection Of Two Curve Singularities written by J. Elias and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Castelnuvo Function Zero Dimensional Schemes And Singular Plane Curves
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Author : Gert-Martin Greuel
language : en
Publisher:
Release Date : 1999
Castelnuvo Function Zero Dimensional Schemes And Singular Plane Curves written by Gert-Martin Greuel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Hilbert Schemes Of Points And Infinite Dimensional Lie Algebras
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Author : Zhenbo Qin
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-02-26
Hilbert Schemes Of Points And Infinite Dimensional Lie Algebras written by Zhenbo Qin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-26 with Hilbert schemes categories.
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.
Singular Algebraic Curves
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Author : Gert-Martin Greuel
language : en
Publisher: Springer
Release Date : 2018-12-30
Singular Algebraic Curves written by Gert-Martin Greuel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-30 with Mathematics categories.
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.