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arXiv · 1805.03525

On 3-canonical maps of varieties of Albanese fiber dimension one

Yuesen Chen
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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.

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Yuesen Chen. 2018-05-09. On 3-canonical maps of varieties of Albanese fiber dimension one. https://arxiv.org/abs/1805.03525

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