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Local cohomology = an algebraic intr...

Brodmann, M. P. (1945-)

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Local cohomology = an algebraic introduction with geometric applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Local cohomology/ M.P. Brodmann, University Zurich, R.Y. Sharp, University of Sheffield.
Reminder of title:	an algebraic introduction with geometric applications /
Author:	Brodmann, M. P.
other author:	Sharp, R. Y.
Published:	Cambridge :Cambridge University Press, : 2013.,
Description:	xxii, 491 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Algebra, Homological. -
Online resource:	https://doi.org/10.1017/CBO9781139044059
ISBN:	9781139044059

Local cohomology = an algebraic introduction with geometric applications /
Brodmann, M. P.1945-

Local cohomologyan algebraic introduction with geometric applications /[electronic resource] :M.P. Brodmann, University Zurich, R.Y. Sharp, University of Sheffield. - Second edition. - Cambridge :Cambridge University Press,2013. - xxii, 491 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;136. - Cambridge studies in advanced mathematics ;136..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9781139044059Subjects--Topical Terms:

663850
Algebra, Homological.

LC Class. No.: QA169 / .B745 2013

Dewey Class. No.: 516.35

Local cohomology = an algebraic introduction with geometric applications /
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020 $a 9781107471801 $q (paperback)
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100 1 $a Brodmann, M. P. $q (Markus P.), $d 1945- $3 3470541
245 1 0 $a Local cohomology $h [electronic resource] : $b an algebraic introduction with geometric applications / $c M.P. Brodmann, University Zurich, R.Y. Sharp, University of Sheffield.
250 $a Second edition.
260 $a Cambridge : $b Cambridge University Press, $c 2013.
300 $a xxii, 491 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 136
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Algebra, Homological. $3 663850
650 0 $a Sheaf theory. $3 612610
650 0 $a Commutative algebra. $3 604140
700 1 $a Sharp, R. Y. $3 710348
830 0 $a Cambridge studies in advanced mathematics ; $v 136. $3 3470542
856 4 0 $u https://doi.org/10.1017/CBO9781139044059