Local Cohomology: An Algebraic Introduction with Geometric Applications - Couverture rigide

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

 
9780521372862: Local Cohomology: An Algebraic Introduction with Geometric Applications

Synopsis

A graduate text covering Grothendieck's local cohomology theory.

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Présentation de l'éditeur

This book provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, and provides many illustrations of applications of 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.

Revue de presse

'... a careful and detailed algebraic introduction to Grothendieck's local cohomology theory.' L'Enseignment Mathématique

'The book is well organised, very nicely written, and reads very well ... a very good overview of local cohomology theory.' European Mathematical Society

'I am sure that this will be a standard text and reference book for years to come.' Liam O'Carroll, Bull. London Mathematical Society

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780521047586: Local Cohomology: An Algebraic Introduction with Geometric Applications

Edition présentée

ISBN 10 :  0521047587 ISBN 13 :  9780521047586
Editeur : Cambridge University Press, 2008
Couverture souple