Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587961 | Journal of Algebra | 2008 | 14 Pages |
Abstract
Over a Noetherian, local ring R of prime characteristic p, the Frobenius functor FR induces a diagonalizable map on certain quotients of rational Grothendieck groups. This leads to an explicit formula for the Dutta multiplicity, and it is shown that a weaker version of Serre's vanishing conjecture holds whenever χ(FR(X))=pdimRχ(X) for all bounded complexes X of finitely generated, projective modules with finite length homology.
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