Local Cohomology (Cambridge Studies in Advanced Mathematics) - download pdf or read online

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

ISBN-10: 0521513634

ISBN-13: 9780521513630

This moment version of a winning graduate textual content presents a cautious and targeted algebraic advent to Grothendieck's neighborhood cohomology concept, together with in multi-graded occasions, and offers many illustrations of the idea in commutative algebra and within the geometry of quasi-affine and quasi-projective forms. issues lined contain Serre's Affineness Criterion, the Lichtenbaum–Hartshorne Vanishing Theorem, Grothendieck's Finiteness Theorem and Faltings' Annihilator Theorem, neighborhood duality and canonical modules, the Fulton–Hansen Connectedness Theorem for projective forms, and connections among neighborhood cohomology and either discounts of beliefs and sheaf cohomology. The booklet is designed for graduate scholars who've a few adventure of easy commutative algebra and homological algebra and likewise specialists in commutative algebra and algebraic geometry. Over three hundred workouts are interspersed one of the textual content; those diversity in hassle from regimen to not easy, and tricks are supplied for the various tougher ones.

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Local Cohomology (Cambridge Studies in Advanced Mathematics) by M. P. Brodmann,R. Y. Sharp


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