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Fourier Mukai Transforms In Algebraic Geometry


Fourier Mukai Transforms In Algebraic Geometry
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Fourier Mukai Transforms In Algebraic Geometry


Fourier Mukai Transforms In Algebraic Geometry
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Author : Daniel Huybrechts
language : en
Publisher: Clarendon Press
Release Date : 2006-04-20

Fourier Mukai Transforms In Algebraic Geometry written by Daniel Huybrechts and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-20 with Mathematics categories.


This seminal text on Fourier-Mukai Transforms in Algebraic Geometry by a leading researcher and expositor is based on a course given at the Institut de Mathematiques de Jussieu in 2004 and 2005. Aimed at postgraduate students with a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. Including notions from other areas, e.g. singular cohomology, Hodge theory, abelian varieties, K3 surfaces;full proofs are given and exercises aid the reader throughout.



Fourier Mukai Transforms In Algebraic Geometry


Fourier Mukai Transforms In Algebraic Geometry
DOWNLOAD
Author : Daniel Huybrechts
language : en
Publisher:
Release Date : 2006

Fourier Mukai Transforms In Algebraic Geometry written by Daniel Huybrechts and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Electronic books categories.




Fourier Mukai And Nahm Transforms In Geometry And Mathematical Physics


Fourier Mukai And Nahm Transforms In Geometry And Mathematical Physics
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Author : CLAUDIO BARTOCCI
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-12

Fourier Mukai And Nahm Transforms In Geometry And Mathematical Physics written by CLAUDIO BARTOCCI and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-12 with Science categories.


Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. "Fourier–Mukai and Nahm Transforms in Geometry and Mathematical Physics" examines the algebro-geometric approach (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features: Basic constructions and definitions are presented in preliminary background chapters - Presentation explores applications and suggests several open questions - Extensive bibliography and index. This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field.



Fourier Mukai Transforms In Algebraic Geometry


Fourier Mukai Transforms In Algebraic Geometry
DOWNLOAD
Author : Daniel Huybrechts
language : en
Publisher: Clarendon Press
Release Date : 2006-04-20

Fourier Mukai Transforms In Algebraic Geometry written by Daniel Huybrechts and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-20 with Mathematics categories.


This seminal text on Fourier-Mukai Transforms in Algebraic Geometry by a leading researcher and expositor is based on a course given at the Institut de Mathematiques de Jussieu in 2004 and 2005. Aimed at postgraduate students with a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. Including notions from other areas, e.g. singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs are given and exercises aid the reader throughout.



Abelian Varieties Theta Functions And The Fourier Transform


Abelian Varieties Theta Functions And The Fourier Transform
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Author : Alexander Polishchuk
language : en
Publisher: Cambridge University Press
Release Date : 2003-04-21

Abelian Varieties Theta Functions And The Fourier Transform written by Alexander Polishchuk and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-21 with Mathematics categories.


Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.



Deformations Of Categories Of Coherent Sheaves And Fourier Mukai Transforms


Deformations Of Categories Of Coherent Sheaves And Fourier Mukai Transforms
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Author : Nathan Grigg
language : en
Publisher:
Release Date : 2013

Deformations Of Categories Of Coherent Sheaves And Fourier Mukai Transforms written by Nathan Grigg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Categories (Mathematics) categories.


In modern algebraic geometry, an algebraic variety is often studied by way of its category of coherent sheaves or derived category. Recent work by Toda has shown that infinitesimal deformations of the category of coherent sheaves can be described as twisted sheaves on a noncommutative deformation of the variety. This thesis generalizes Toda's work by creating a chain of inclusions from deformations of schemes to commutative deformations to deformations of the category of coherent sheaves. We define projections from coherent deformations to commutative deformations to scheme deformations and show that the fiber of the projection from commutative deformations to schemes is a gerbe. We also prove that for two derived equivalent K3 surfaces in characteristic p and any scheme deformation of one of these, there is a scheme deformation of the other so that the two deformations are also derived equivalent.



Fourier Mukai Tranforms In Algebraic Geometry


Fourier Mukai Tranforms In Algebraic Geometry
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Author : D. Huybrechts
language : en
Publisher:
Release Date : 2006

Fourier Mukai Tranforms In Algebraic Geometry written by D. Huybrechts and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.




The Geometry Of Cubic Hypersurfaces


The Geometry Of Cubic Hypersurfaces
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Author : Daniel Huybrechts
language : en
Publisher: Cambridge University Press
Release Date : 2023-06-30

The Geometry Of Cubic Hypersurfaces written by Daniel Huybrechts and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-30 with Mathematics categories.


A detailed introduction to cubic hypersurfaces, applying diverse techniques to a central class of algebraic varieties.



Geometric Analysis


Geometric Analysis
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Author : Jingyi Chen
language : en
Publisher: Springer Nature
Release Date : 2020-04-10

Geometric Analysis written by Jingyi Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-10 with Mathematics categories.


This edited volume has a two-fold purpose. First, comprehensive survey articles provide a way for beginners to ease into the corresponding sub-fields. These are then supplemented by original works that give the more advanced readers a glimpse of the current research in geometric analysis and related PDEs. The book is of significant interest for researchers, including advanced Ph.D. students, working in geometric analysis. Readers who have a secondary interest in geometric analysis will benefit from the survey articles. The results included in this book will stimulate further advances in the subjects: geometric analysis, including complex differential geometry, symplectic geometry, PDEs with a geometric origin, and geometry related to topology. Contributions by Claudio Arezzo, Alberto Della Vedova, Werner Ballmann, Henrik Matthiesen, Panagiotis Polymerakis, Sun-Yung A. Chang, Zheng-Chao Han, Paul Yang, Tobias Holck Colding, William P. Minicozzi II, Panagiotis Dimakis, Richard Melrose, Akito Futaki, Hajime Ono, Jiyuan Han, Jeff A. Viaclovsky, Bruce Kleiner, John Lott, Sławomir Kołodziej, Ngoc Cuong Nguyen, Chi Li, Yuchen Liu, Chenyang Xu, YanYan Li, Luc Nguyen, Bo Wang, Shiguang Ma, Jie Qing, Xiaonan Ma, Sean Timothy Paul, Kyriakos Sergiou, Tristan Rivière, Yanir A. Rubinstein, Natasa Sesum, Jian Song, Jeffrey Streets, Neil S. Trudinger, Yu Yuan, Weiping Zhang, Xiaohua Zhu and Aleksey Zinger.



Algebraic Geometry


Algebraic Geometry
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Author : Dan Abramovich
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Algebraic Geometry written by Dan Abramovich 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 2009 with Mathematics categories.


This volume contains research and expository papers by some of the speakers at the 2005 AMS Summer Institute on Algebraic Geometry. Numerous papers delve into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties.