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

107   0   0.0 ( 0 )
 Added by Yuesen Chen
 Publication date 2018
  fields
and research's language is English
 Authors Yuesen Chen




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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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