This article is cited in 10 papers

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

A. A. Avilov

National Research University "Higher School of Economics", Moscow

Abstract: 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.

Keywords: conic fibration, Sarkisov link, minimal model programme, birational model.

UDC: 512.765

MSC: Primary 14J30; Secondary 14E30, 14J10

Received: 13.07.2014

DOI: 10.4213/sm8403

 English version: Sbornik: Mathematics, 2014, 205:12, 1683–1695

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