Local Cohomology: An Algebraic Introduction with Geometric Applications by M. P. Brodmann, R. Y. Sharp

Local Cohomology: An Algebraic Introduction with Geometric Applications



Download Local Cohomology: An Algebraic Introduction with Geometric Applications




Local Cohomology: An Algebraic Introduction with Geometric Applications M. P. Brodmann, R. Y. Sharp
Language: English
Page: 429
Format: pdf
ISBN: 0521372860, 9780521372862
Publisher: Cambridge University Press

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.

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