Surfaces of class vii0 and affine geometry

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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 languageEnglish (US)
Pages (from-to)31-73
Number of pages43
JournalMathematics of the USSR - Izvestija
Volume21
Issue number1
DOIs
StatePublished - Feb 28 1983

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Holonomy Group
Affine geometry
Affine Structure
Theorem
Class
Bibliography

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  • Mathematics(all)

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Surfaces of class vii0 and affine geometry. / Bogomolov, Fedor.

In: Mathematics of the USSR - Izvestija, Vol. 21, No. 1, 28.02.1983, p. 31-73.

Research output: Contribution to journalArticle

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