## Kyoto Journal of Mathematics

### Deformation equivalence classes of Inoue surfaces with $b_{1}=1$ and $b_{2}=0$

Shota Murakami

#### 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 $16$.

#### Article information

Source
Kyoto J. Math., Volume 59, Number 3 (2019), 685-701.

Dates
Revised: 1 April 2017
Accepted: 15 May 2017
First available in Project Euclid: 18 May 2019

https://projecteuclid.org/euclid.kjm/1558145161

Digital Object Identifier
doi:10.1215/21562261-2019-0021

Mathematical Reviews number (MathSciNet)
MR3990182

Zentralblatt MATH identifier
07108007

Subjects
Primary: 32J15: Compact surfaces
Secondary: 14J25: Special surfaces {For Hilbert modular surfaces, see 14G35}

#### Citation

Murakami, Shota. Deformation equivalence classes of Inoue surfaces with $b_{1}=1$ and $b_{2}=0$. Kyoto J. Math. 59 (2019), no. 3, 685--701. doi:10.1215/21562261-2019-0021. https://projecteuclid.org/euclid.kjm/1558145161

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