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.
Original language | English |
---|---|
Pages (from-to) | 213-225 |
Number of pages | 13 |
Journal | Journal fur die Reine und Angewandte Mathematik |
Volume | 2013 |
Issue number | 676 |
DOIs | |
State | Published - 2013 |
Externally published | Yes |