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Derivations and Valuation Rings

  Published:2011-06-29
 Printed: Mar 2013
  • Fortuny P. Ayuso,
    Dpto. de Matemáticas, Universidad de Oviedo, Spain
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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 singular holomorphic foliation, derivation, valuation, valuation ring
MSC Classifications: 32S65, 13F30, 13A18 show english descriptions Singularities of holomorphic vector fields and foliations
Valuation rings [See also 13A18]
Valuations and their generalizations [See also 12J20]
32S65 - Singularities of holomorphic vector fields and foliations
13F30 - Valuation rings [See also 13A18]
13A18 - Valuations and their generalizations [See also 12J20]
 

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