Local Cohomology: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics, Series Number 60)

Brodmann, M. P.; Sharp, R. Y.

ISBN 10: 0521372860 / ISBN 13: 9780521372862

Published by Cambridge University Press, 1998

About this Item

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Bibliographic Details

• Title: Local Cohomology: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics, Series Number 60)
• Publisher: Cambridge University Press
• Publication Date: 1998
• Language: English
• ISBN 10: 0521372860
• ISBN 13: 9780521372862
• Binding: Hardcover
• Condition: good

About this title

Synopsis

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.

Book Description

This book provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, and provides many illustrations of applications of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. 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.