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Derivations and Valuation Rings |
Published:2011-06-29
Printed: Mar 2013
Printed: Mar 2013
- Fortuny P. Ayuso,
Abstract
A complete characterization of valuation rings closed for a
holomorphic derivation is given, following an idea of Seidenberg,
in dimension $2$.
| Keywords: | singular holomorphic foliation, derivation, valuation, valuation ring |
| MSC Classifications: |
32S65 - Singularities of holomorphic vector fields and foliations 13F30 - Valuation rings [See also 13A18] 13A18 - Valuations and their generalizations [See also 12J20] |