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中图分类法:
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O154.2 版次： |
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著者:
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Brodmann, M. P. |
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题名:
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Local cohomology : [ an algebraic introduction with geometric applications /] / , |
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版次:
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Second edition. |
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载体形态:
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xxii, 491 pages : illustrations ; 24 cm. |
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附注:
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Previous edition: 1998. |
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内容提要:
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"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 |