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The relative trace ideal and the depth of modular rings of invariants

โœ Scribed by P. Fleischmann, R. J. Shank


Book ID
118777459
Publisher
Springer
Year
2003
Tongue
English
Weight
94 KB
Volume
80
Category
Article
ISSN
0003-889X

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Let G be a finite group acting linearly on a vector space V over a field K of positive characteristic p and let P โ‰ค G be a Sylow p-subgroup. Ellingsrud and Skjelbred [Compositio Math. 41 (1980), 233-244] proved the lower bound for the depth of the invariant ring, with equality if G is a cyclic p-gr

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Let (A; m) be a local noetherian ring with inรฟnite residue รฟeld and I an ideal of A. Consider RA(I ) and GA(I ), respectively, the Rees algebra and the associated graded ring of I , and denote by l(I ) the analytic spread of I . Burch's inequality says that l(I )+inf {depth A=I n ; n โ‰ฅ 1} โ‰ค dim(A),