Abstract

In the present paper, we study the (twisted) 3-canonical map of varieties of Albanese fiber dimension one. Based on a theorem about the regularity of direct image of canonical sheaves, we prove that the 3-canonical map is generically birational when the genus of a general fiber of the Albanese map is 2.

中文翻译：

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艾博年纤维变种一维三正则图

摘要

在本文中，我们研究了 Albanese 纤维第 1 维品种的（扭曲）3-规范图。基于正则层直像正则性定理，我们证明当Albanese映射的一般纤维的属为2时，3-正则映射是泛双有理的。