English

On the bicanonical map of algebraic threefolds of general type

Algebraic Geometry 2024-04-23 v2

Abstract

We answer an open problem of the first author and Zhang (see Open Problem 6.4 (3) in Math. Z. 258 (2008), 565-585) and prove that, for any nonsingular projective 33-fold of general type with the geometric genus greater than 201, the bicanonical system is not composed of any pencil of surfaces.

Keywords

Cite

@article{arxiv.2305.19960,
  title  = {On the bicanonical map of algebraic threefolds of general type},
  author = {Meng Chen and Chen Jiang and Jianshi Yan},
  journal= {arXiv preprint arXiv:2305.19960},
  year   = {2024}
}

Comments

(To appear in) Acta Math Sinica (English Series), 8 pages