Umfang:
1 online resource (xxii, 491 pages)
Ausgabe:
Second edition.
ISBN:
9780521513630
,
9781107471801
,
9781139044059
Serie:
Cambridge studies in advanced mathematics 136
Inhalt:
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.
Anmerkung:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Weitere Ausg.:
ISBN 9780521513630
Weitere Ausg.:
ISBN 9781107471801
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Brodmann, Markus, 1945 - Local cohomology Cambridge [u.a.] : Cambridge University Press, 2013 ISBN 0521513634
Weitere Ausg.:
ISBN 9780521513630
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Lokale Kohomologie
;
Homologische Algebra
;
Lokale Kohomologie
;
Homologische Algebra
DOI:
10.1017/CBO9781139044059
Mehr zum Autor:
Brodmann, Markus 1945-