Let k ; K be a finitely generated field extension of transcendence degree 1. Ε½ . Ε½ . ## Consider the corresponding extension D D k ; D D K of skew fields of the first 1 1 Ε½ . Ε½ . Weyl algebra. We show that the D D k -valuations of D D K are in one-to-one 1 1 Ε½ . correspondence with the k-valuati
Discrete Valuations on Weyl Skew Fields
β Scribed by Luc Willaert
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 165 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
Discrete k-valuations on D D k with a pure transcendental field-extension of 1 degree 1 as residue-field fall apart into two classes. The class containing the discrete valuation induced by the Bernstein filtration is completely determined, using the interplay between its valuations and the Bernstein filtration.
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