On minimal 4-folds of general type with $p_g \geq 2$

Jianshi Yan

paper

On minimal 4-folds of general type with $p_{g} \geq 2$

arXiv:1904.09393

Abstract

We show that, for nonsingular projective 4-folds V of general type with geometric genus $p_{g} \geq 2$ , the 33-canonical map is birational onto the image and the canonical volume has the lower bound $1/520$ , which improves a previous theorem by Chen and Chen.

14 pages. Slight rearrangements have been made to the context. The result on the lower bound of the canonical volume has been improved, because of the nonexistence of a kind of fibration in Subcase(II-2) of the previous version, which was pointed out by Yong Hu

On minimal 4-folds of general type with pg​≥2

Abstract

On minimal 4-folds of general type with $p_{g} \geq 2$