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arXiv:1309.0135 [math.AC]AbstractReferencesReviewsResources

Ramification of local rings along valuations

Steven Dale Cutkosky, Pham An Vinh

Published 2013-08-31Version 1

In this paper we discuss stable forms of extensions of algebraic local rings along a valuation in all dimensions over a field k of characteristic zero, and generalize a formula of Ghezzi, H\`a and Kashcheyeva describing the extension of associated graded rings along the valuation for stable extensions of regular algebraic local rings of dimension two to arbitrary ground fields k of characteristic zero. We discuss the failure of this result in positive characteristic.

Comments: 14 pages
Categories: math.AC
Subjects: 13B02
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