On the bicanonical map of algebraic threefolds of general type

Meng Chen; Chen Jiang; Jianshi Yan

doi:10.1007/s10114-025-3259-6

paper

On the bicanonical map of algebraic threefolds of general type

arXiv:2305.19960 · doi:10.1007/s10114-025-3259-6

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 $3$ -fold of general type with the geometric genus greater than 201, the bicanonical system is not composed of any pencil of surfaces.

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