Derived Categories In Algebraic Geometry
DOWNLOAD
Download Derived Categories In Algebraic Geometry PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Derived Categories In Algebraic Geometry book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Derived Categories In Algebraic Geometry
DOWNLOAD
Author : Yujiro Kawamata
language : en
Publisher: Amer Mathematical Society
Release Date : 2012
Derived Categories In Algebraic Geometry written by Yujiro Kawamata and has been published by Amer Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
The study of derived categories is a subject that attracts increasingly many mathematicians from various fields of mathematics, including abstract algebra, algebraic geometry, representation theory, and mathematical physics. The concept of the derived category of sheaves was invented by Grothendieck and Verdier in the 1960s as a tool to express important results in algebraic geometry such as the duality theorem. In the 1970s, Beilinson, Gelfand, and Gelfand discovered that a derived category of an algebraic variety may be equivalent to that of a finite-dimensional non-commutative algebra, and Mukai found that there are non-isomorphic algebraic varieties that have equivalent derived categories. In this way, the derived category provides a new concept that has many incarnations. In the 1990s, Bondal and Orlov uncovered an unexpected parallelism between the derived categories and the birational geometry. Kontsevich's homological mirror symmetry provided further motivation for the study of derived categories. This book contains the proceedings of a conference held at the University of Tokyo in January 2011 on the current status of the research on derived categories related to algebraic geometry. Most articles are survey papers on this rapidly developing field. The book is suitable for mathematicians who want to enter this exciting field. Some basic knowledge of algebraic geometry is assumed.
Derived Categories
DOWNLOAD
Author : Amnon Yekutieli
language : en
Publisher: Cambridge University Press
Release Date : 2019-12-19
Derived Categories written by Amnon Yekutieli 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 2019-12-19 with Mathematics categories.
The first systematic exposition of the theory of derived categories, with key applications in commutative and noncommutative algebra.
Mitteilungen Der Handwerkskammer Bielefeld
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1947
Mitteilungen Der Handwerkskammer Bielefeld written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with categories.
A Study In Derived Algebraic Geometry
DOWNLOAD
Author : Dennis Gaitsgory
language : en
Publisher: American Mathematical Society
Release Date : 2019-12-31
A Study In Derived Algebraic Geometry written by Dennis Gaitsgory and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-31 with Mathematics categories.
Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prominently in representation theory. This volume develops the theory of ind-coherent sheaves in the context of derived algebraic geometry. Ind-coherent sheaves are a “renormalization” of quasi-coherent sheaves and provide a natural setting for Grothendieck-Serre duality as well as geometric incarnations of numerous categories of interest in representation theory. This volume consists of three parts and an appendix. The first part is a survey of homotopical algebra in the setting of $infty$-categories and the basics of derived algebraic geometry. The second part builds the theory of ind-coherent sheaves as a functor out of the category of correspondences and studies the relationship between ind-coherent and quasi-coherent sheaves. The third part sets up the general machinery of the $mathrm{(}infty, 2mathrm{)}$-category of correspondences needed for the second part. The category of correspondences, via the theory developed in the third part, provides a general framework for Grothendieck's six-functor formalism. The appendix provides the necessary background on $mathrm{(}infty, 2mathrm{)}$-categories needed for the third part.
Derived Ell Adic Categories For Algebraic Stacks
DOWNLOAD
Author : Kai Behrend
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Derived Ell Adic Categories For Algebraic Stacks written by Kai Behrend 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 2003 with Mathematics categories.
This text is intended for graduate students and research mathematicians interested in algebraic geometry, category theory and homological algebra.
Derived Algebraic Geometry
DOWNLOAD
Author : Renaud Gauthier
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-01-29
Derived Algebraic Geometry written by Renaud Gauthier 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 2024-01-29 with Mathematics categories.
Superschool On Derived Categories And D Branes
DOWNLOAD
Author : Matthew Ballard
language : en
Publisher: Springer
Release Date : 2018-08-21
Superschool On Derived Categories And D Branes written by Matthew Ballard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-21 with Mathematics categories.
This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and D-branes in July 2016. Together, they form a comprehensive introduction to the field that integrates perspectives from mathematicians and physicists alike. These proceedings provide a pleasant and broad introduction into modern research topics surrounding string theory and mirror symmetry that is approachable to readers new to the subjects. These topics include constructions of various mirror pairs, approaches to mirror symmetry, connections to homological algebra, and physical motivations. Of particular interest is the connection between GLSMs, D-branes, birational geometry, and derived categories, which is explained both from a physical and mathematical perspective. The introductory lectures provided herein highlight many features of this emerging field and give concrete connections between the physics and the math. Mathematical readers will come away with a broader perspective on this field and a bit of physical intuition, while physicists will gain an introductory overview of the developing mathematical realization of physical predictions.
Mixed Motives And Their Realization In Derived Categories
DOWNLOAD
Author : Annette Huber
language : en
Publisher: Springer
Release Date : 2006-11-17
Mixed Motives And Their Realization In Derived Categories written by Annette Huber and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-17 with Mathematics categories.
The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry. The monograph describes the approach to motives via their well-defined realizations. This includes a review of several known cohomology theories. A new absolute cohomology is introduced and studied. The book assumes knowledge of the standard cohomological techniques in algebraic geometry as well as K-theory. So the monograph is primarily intended for researchers. Advanced graduate students can use it as a guide to the literature.
Derived Categories In Algebraic Geometry
DOWNLOAD
Author : Robin Hartshorne
language : en
Publisher:
Release Date : 1969
Derived Categories In Algebraic Geometry written by Robin Hartshorne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
A Study In Derived Algebraic Geometry
DOWNLOAD
Author : Dennis Gaitsgory
language : en
Publisher:
Release Date : 2017
A Study In Derived Algebraic Geometry written by Dennis Gaitsgory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Algebraic geometry -- (Co)homology theory -- Differentials and other special sheaves categories.
Cover -- Title page -- Back Cover