Completions of local morphisms and valuations |
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Authors: | Reinhold Hübl |
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Institution: | NWF I – Mathematik, Universit?t Regensburg, D-93040 Regensburg, Germany (e-mail: Reinhold.Huebl@Mathematik.Uni-Regensburg.de), DE
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Abstract: | In this note we study injective local morphisms of local excellent domains. In particular we are interested in the problem when the –adic topology onS restricts to a topology on R that is linearly equivalent to the –adic topology. Using a valuative criterion, we prove this in case R is analytically irreducible and is essentially of finite type, and we recover and extend a weak version of Gabrielov's rank condition.
Received July 30, 1999; in final form November 16, 1999 / Published online December 8, 2000 |
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Keywords: | Mathematics Subject Classification (1991):13A18 14F10 13B22 |
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