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Derived Categories in Algebraic Geom...

Kawamata, Yujiro,

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Derived Categories in Algebraic Geometry = Tokyo 2011 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Derived Categories in Algebraic Geometry/ Yujiro Kawamata
其他題名:	Tokyo 2011 /
其他作者:	Kawamata, Yujiro,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2013,
面頁冊數:	1 online resource (354 pages)
標題:	Algebraic geometry -
電子資源:	https://doi.org/10.4171/115
電子資源:	https://www.ems-ph.org/img/books/kawamata_mini.jpg
ISBN:	9783037196151

Derived Categories in Algebraic Geometry = Tokyo 2011 /
Derived Categories in Algebraic GeometryTokyo 2011 /[electronic resource] :Yujiro Kawamata - Zuerich, Switzerland :European Mathematical Society Publishing House,2013 - 1 online resource (354 pages) - EMS Series of Congress Reports (ECR) ;2523-515X.

Categorical representability and intermediate Jacobians of Fano threefolds /Marcello Bernardara, Michele Bolognesi --

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

The study of derived categories is a subject that attracts increasingly many young 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 derived categories and birational geometry. Kontsevich's homological mirror symmetry provided further motivation for the study of derived categories. This book is 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 young mathematicians who want to enter this exciting field. Some basic knowledge of algebraic geometry is assumed.

ISBN: 9783037196151

Standard No.: 10.4171/115doiSubjects--Topical Terms:

3480846
Algebraic geometry

Derived Categories in Algebraic Geometry = Tokyo 2011 /
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