Klein Approximation and Hilbertian fields

Fehm, Arno; Paran, Elad

Klein Approximation and Hilbertian fields

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Date

2013

Authors

Fehm, Arno

Paran, Elad

Publication type

Journal article

Published in

Journal für die reine und angewandte Mathematik (Crelles Journal) ; 2013 (2013), 676. - ISSN 1435-5345. - eISSN 1435-5345

Abstract

The quotient field of a generalized Krull domain of dimension exceeding one is Hilbertian by a theorem of Weissauer. Building on work of R. Klein we generalize this criterion for Hilbertianity to a wider class of domains. This allows us to extend recent results on Hilbertianity of fields of power series and obtain new Hilbertian fields.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

FEHM, Arno, Elad PARAN, 2013. Klein Approximation and Hilbertian fields. In: Journal für die reine und angewandte Mathematik (Crelles Journal). 2013(676). ISSN 1435-5345. eISSN 1435-5345. Available under: doi: 10.1515/crelle.2012.007

BibTex

@article{Fehm2013Klein-23250,
  year={2013},
  doi={10.1515/crelle.2012.007},
  title={Klein Approximation and Hilbertian fields},
  number={676},
  volume={2013},
  issn={1435-5345},
  journal={Journal für die reine und angewandte Mathematik (Crelles Journal)},
  author={Fehm, Arno and Paran, Elad}
}

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