Local Cohomology: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics): 136 (Cambridge Studies in Advanced Mathematics, Series Number 136) - Image 1

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Cambridge University Press Local Cohomology: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics): 136 (Cambridge Studies in Advanced Mathematics, Series Number 136)

Name: Local Cohomology: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics): 136 (Cambridge Studies in Advanced Mathematics, Series Number 136)
Brand: Cambridge University Press
Price: 83.6 GBP
Availability: InStock

Algebra

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Description

This second edition of a successful graduate text provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, including in multi-graded situations, and provides many illustrations of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Serre's Affineness Criterion, the Lichtenbaum–Hartshorne Vanishing Theorem, Grothendieck's Finiteness Theorem and Faltings' Annihilator Theorem, local duality and canonical modules, the Fulton–Hansen Connectedness Theorem for projective varieties, and connections between local cohomology and both reductions of ideals and sheaf cohomology. The book is designed for graduate students who have some experience of basic commutative algebra and homological algebra and also experts in commutative algebra and algebraic geometry. Over 300 exercises are interspersed among the text; these range in difficulty from routine to challenging, and hints are provided for some of the more difficult ones.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 0521513634
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 15 November 2012
Listed Since: 26 March 2012

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Cambridge University Press Local Cohomology: An Algebraic Introduction with Geometric Applications (Cambridge Studies in Advanced Mathematics): 136 (Cambridge Studies in Advanced Mathematics, Series Number 136)

About as cheap as it gets. The only time it was cheaper was 3 months ago.

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