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Algebra and Discrete Mathematics, 2004, Issue 2, Pages 1–8
(Mi adm333)
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This article is cited in 3 scientific papers (total in 3 papers)
RESEARCH ARTICLE
Some applications of Hasse principle for pseudoglobal fields
V. Andriychuk Department of Mathematics and Mechanic, Lviv Ivan Franko University, Lviv, Ukraine
Abstract:
Some corollaries of the Hasse principle for Brauer group of a pseudoglobal field are obtained. In particular we prove Hasse–Minkowski theorem on quadratic forms over pseudoglobal field and the Hasse principle for quadratic forms of rank 2 or 3 over the field of fractions of an excellent two-dimensional henselian local domain with pseudofinite residue field. It is considered also the Galois group of maximal $p$-extensions of a pseudoglobal field.
Keywords:
algebraic function field, Hasse principle, quadratic form.
Received: 24.02.2004 Revised: 01.06.2004
Citation:
V. Andriychuk, “Some applications of Hasse principle for pseudoglobal fields”, Algebra Discrete Math., 2004, no. 2, 1–8
Linking options:
https://www.mathnet.ru/eng/adm333 https://www.mathnet.ru/eng/adm/y2004/i2/p1
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Abstract page: | 130 | Full-text PDF : | 80 | First page: | 1 |
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