INVOLUTIONS ON SURFACES OF GENERAL TYPE WITH p_{g} = 0 I. THE COMPOSED CASE

- Journal title : Communications of the Korean Mathematical Society
- Volume 28, Issue 3, 2013, pp.425-432
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2013.28.3.425

Title & Authors

INVOLUTIONS ON SURFACES OF GENERAL TYPE WITH p_{g} = 0 I. THE COMPOSED CASE

Shin, YongJoo;

Shin, YongJoo;

Abstract

Let S be a minimal surface of general type with having an involution over the field of complex numbers. It is well known that if the bicanonical map of S is composed with , then the minimal resolution W of the quotient is rational or birational to an Enriques surface. In this paper we prove that the surface W of S with having an involution with which the bicanonical map of S is composed is rational. This result applies in part to surfaces S with for which has degree 4 and is composed with an involution . Also we list the examples available in the literature for the given and the degree of .

Keywords

involution;surface;of general type;

Language

English

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