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arXiv · 2305.19960

On the bicanonical map of algebraic threefolds of general type

Meng Chen·Chen Jiang·Jianshi Yan
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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.

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Meng Chen, Chen Jiang, Jianshi Yan. 2023-05-31. On the bicanonical map of algebraic threefolds of general type. https://doi.org/10.1007/s10114-025-3259-6

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