Surfaces of class vii0 and affine geometry

F. A. Bogomolov

doi:10.1070/IM1983v021n01ABEH001640

Surfaces of class vii₀ and affine geometry

F. A. Bogomolov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper gives a complete and detailed proof of the theorem to the effect that the only surfaces of class VII₀ with b ₂=0 are the Inoue-Kodaira surfaces. Besides that it contains several results on manifolds with affine structures whose holonomy groups are commutative, in particular the general case is reduced to the case when the holonomy group is diagonal.Bibliography: 16 titles.

Original language	English (US)
Pages (from-to)	31-73
Number of pages	43
Journal	Mathematics of the USSR - Izvestija
Volume	21
Issue number	1
DOIs	https://doi.org/10.1070/IM1983v021n01ABEH001640
State	Published - Feb 28 1983

ASJC Scopus subject areas

Mathematics(all)

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