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Dạng tài liệu:	Bản in
Chỉ số ISBN:	978-3-03719-115-6,
Nguồn:	Tặng biếu : Prof. Phan Thành An tặng
Ngôn ngữ:	Eng
Mã giá:	14KA
Mã MSC:	14-06 , 14F05
Tác giả:	Yujiro Kawamata,
Nhan đề:	Derived categories in algebraic geometry
Xuất bản, phát hành:	Zürich : EMS , 2012
Số trang:	352
Từ Khóa:	derived categories
Bộ sách:	EMS Series of Congress Reports

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  020	##	$a 978-3-03719-115-6,$c Tặng biếu
  041	##	$a Eng
  084	##	$a 14KA
  097	##	14-06
  097	##	14F05
  100	##	$a Yujiro Kawamata
  245	##	$a Derived categories in algebraic geometry
  260	##	$a Zürich :$b EMS,$c 2012
  300	##	$a352
  500	##	$a Prof. Phan Thành An tặng
  505	##	$a Alberto Canonaco and Paolo Stellari, Fourier-Mukai functors: a survey” Sabin Cautis, Flops and about: a guide” Akira Ishii and Kazushi Ueda, A note on derived categories of Fermat varieties” Dmitry Kaledin D. B. Kaledin, Homology of infinite loop spaces” Bernhard Keller, Cluster algebras and derived categories” Izuru Mori, Some derived equivalences between noncommutative schemes and algebras” Alexander Polishchuk, Lagrangian-invariant sheaves and functors for abelian varieties”, Mihnea Popa, Generic vanishing filtrations and perverse objects in derived categories of coherent sheaves” Christian Schnell, The fundamental group is not a derived invariant” Yukinobu Toda, Introduction and open problems of Donaldson-Thomas theory” Michel Van den Bergh, Notes on formal deformations of abelian categories”
  520	##	$a 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.
  653	##	$a derived categories
  700	##	$a
  773	##	$tEMS Series of Congress Reports
  900	##	1
  927	##	Sách, chuyên khảo, tuyển tập

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