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VOL. 65 | 2015 Deformations of product-quotient surfaces and reconstruction of Todorov surfaces via $\mathbb{Q}$-Gorenstein smoothing
Yongnam Lee, Francesco Polizzi

Editor(s) Jungkai Alfred Chen, Meng Chen, Yujiro Kawamata, JongHae Keum

Abstract

We consider the deformation spaces of some singular product-quotient surfaces $X= (C_1 \times C_2)/G$, where the curves $C_i$ have genus 3 and the group $G$ is isomorphic to $\mathbb{Z}_4$. As a by-product, we give a new construction of Todorov surfaces with $p_g = 1$, $q = 0$ and $2 \leq K^2 \leq 8$ by using $\mathbb{Q}$-Gorenstein smoothings.

Information

Published: 1 January 2015
First available in Project Euclid: 19 October 2018

zbMATH: 1360.14103
MathSciNet: MR3380788

Digital Object Identifier: 10.2969/aspm/06510159

Subjects:
Primary: 14J29
Secondary: 14J10, 14J17

Rights: Copyright © 2015 Mathematical Society of Japan

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