Some applications of Hasse principle for pseudoglobal fields

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/95

Title:	Some applications of Hasse principle for pseudoglobal fields
Authors:	Andriychuk, V.
Issue Date:	2004
Publisher:	Луганский национальный университет им. Т. Шевченко
Description:	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.
URI:	http://hdl.handle.net/123456789/95
Appears in Collections:	Статті

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