Generic finiteness of 3-canonical maps of varieties of Albanese fiber dimension one

• Chen, Yuesen ^[1]
  1. [1] University of Science and Technology of China

     University of Science and Technology of China

     China

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 74, Fasc. 3, 2023, págs. 547-565
• Idioma: inglés
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• Resumen

  • We prove that for a variety of Albanese fiber dimension one and of general type, the generic twisted 3-canonical map is generically finite, under which the Albanese morphism is an isogeny. As an application, we also show that for such varieties with dimensional three and large volume, the degree of twisted 3-canonical maps are at most 2, which leads to a generic birationality property on itself.