Mathematics > Algebraic Geometry
[Submitted on 9 May 2018 (v1), last revised 27 Feb 2021 (this version, v5)]
Title:On 3-canonical maps of varieties of Albanese fiber dimension one
View PDFAbstract: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.
Submission history
From: Yuesen Chen [view email][v1] Wed, 9 May 2018 13:46:01 UTC (12 KB)
[v2] Mon, 14 May 2018 11:52:43 UTC (12 KB)
[v3] Mon, 21 May 2018 12:20:36 UTC (1 KB) (withdrawn)
[v4] Tue, 22 May 2018 07:35:43 UTC (1 KB) (withdrawn)
[v5] Sat, 27 Feb 2021 04:06:55 UTC (20 KB)
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