Deformation equivalence classes of Inoue surfaces with b1=1 and b2=0

Shota Murakami

doi:10.1215/21562261-2019-0021

Abstract

In this article, we will show that if $S$ is an Inoue surface with $b_{1}=1$ and $b_{2}=0$ , then the number of deformation equivalence classes of complex surfaces diffeomorphic to $S$ is at most $16$ .

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Shota Murakami. "Deformation equivalence classes of Inoue surfaces with $b_{1}=1$ and $b_{2}=0$ ." Kyoto J. Math. 59 (3) 685 - 701, September 2019. https://doi.org/10.1215/21562261-2019-0021

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Received: 26 January 2016; Revised: 1 April 2017; Accepted: 15 May 2017; Published: September 2019

First available in Project Euclid: 18 May 2019

zbMATH: 07108007

MathSciNet: MR3990182

Digital Object Identifier: 10.1215/21562261-2019-0021

Subjects:

Primary: 32J15

Secondary: 14J25

Keywords: complex geometry , deformation equivalence , Inoue surface

Abstract

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