Huebl, Reinhold (2001) Completions of local morphisms and valuations. MATHEMATISCHE ZEITSCHRIFT, 236 (1). pp. 201-214. ISSN 0025-5874
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In this note we study injective local morphisms phi : (R, m) --> (S, n) of local excellent domains. In particular we are interested in the problem when the n-adic topology on S restricts to a topology on R that is linearly equivalent to the m-adic topology. Using a valuative criterion, we prove this in case R is analytically irreducible and S/R is essentially of finite type, and we recover and extend a weak version of Gabrielov's rank condition.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Mar 2022 16:29 |
| Last Modified: | 02 Mar 2022 16:29 |
| URI: | https://pred.uni-regensburg.de/id/eprint/41912 |
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