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Title: Existence of standard models of conic fibrations over non-algebraically-closed fields

We prove an analogue of Sarkisov's theorem on the existence of a standard model of a conic fibration over an algebraically closed field of characteristic different from two for three-dimensional conic fibrations over an arbitrary field of characteristic zero with an action of a finite group. Bibliography: 16 titles.
Authors:
 [1]
  1. National Research University "Higher School of Economics", Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
22364153
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 12; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ALGEBRA; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; THREE-DIMENSIONAL CALCULATIONS