Standard isotrivial fibrations with pg = q=1

JOURNAL OF ALGEBRA

卷:321

Article

Polizzi, Francesco

关键词: Surfaces of general type;    Isotrivial fibrations;    Actions of finite groups;   

DOI  :  10.1016/j.jalgebra.2008.10.028

来源: Elsevier

【 摘 要 】

A smooth, projective surface S of general type is said to be a standard isotrivial fibration if there exists a finite group G acting faithfully on two smooth projective curves C and F so that S is isomorphic to the minimal desingularization of T := (C x F)/G. If T is smooth then S = T is called a quasi-bundle. In this paper we classify the standard isotrivial fibrations with pg = q = 1 which are not quasi-bundles, assuming that all the singularities of T are rational double points. As a by-product, we provide several new examples of minimal surfaces of general type with pg = q = 1 and K-S(2) = 4, 6. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free