On the bicanonical map of algebraic threefolds of general type

arXiv2305.19960MaRDI QIDQ6438686

Publication date: 31 May 2023

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.

Mathematics Subject Classification ID

(3)-folds (14J30) Rational and birational maps (14E05) Surfaces of general type (14J29)

This page was built for publication: On the bicanonical map of algebraic threefolds of general type