Local Cohomology

副标题: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics)

ISBN: 9780521372862

出版社: Cambridge University Press

出版年: 1998-03-19

页数: 436

定价: USD 95.00

装帧: Hardcover

内容简介

This book provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, and illustrates many applications for the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Castelnuovo-Mumford regularity, the Fulton-Hansen connectedness theorem for projective varieties, and connections between local cohomology and both reductions of ideals and sheaf cohomology. It is designed for graduate students who have some experience of basic commutative algebra and homological algebra, and also for experts in commutative algebra and algebraic geometry.