Klein approximation and Hilbertian fields

被引：1

作者：

Fehm, Arno ^{[1
]}

Paran, Elad ^{[2
]}

机构：

[1] Univ Konstanz, Fachbereich Math & Stat, D-78457 Constance, Germany

[2] Open Univ Israel, IL-43104 Raanana, Israel

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2013年 / 676卷

关键词：

EMBEDDING PROBLEMS; POWER-SERIES; RINGS;

D O I：

10.1515/crelle.2012.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：213 / 225

页数：13

共 29 条

[1] Atiyah M. F., 1969, Introduction to Commutative Algebra
[2] Bourbaki Nicolas, 1989, Elements of Mathematics (Berlin)
[3] Debes P., 1997, LONDON MATH SOC LECT, V243, P119, DOI DOI 10.1017/CB09780511666124.007
[4] Efrat I, 2006, VALUATIONS ORDERINGS
[5] Engler A.J., 2005, SPRINGER MG MATH
[6] Galois theory over rings of arithmetic power series
Fehm, Arno
Paran, Elad
[J]. ADVANCES IN MATHEMATICS, 2011, 226 (05) : 4183 - 4197
[7] Fried MD, 2008, ERGEB MATH GRENZGEB, V11, P1
[8] GRIFFIN M, 1968, J REINE ANGEW MATH, V229, P1
[9] GALOIS COVERS OF AN ARITHMETIC SURFACE
HARBATER, D
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1988, 110 (05) : 849 - 885
[10] CONVERGENT ARITHMETIC POWER-SERIES
HARBATER, D
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1984, 106 (04) : 801 - 846

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