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

Jianshi Yan

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

Algebraic Geometry 2021-01-19 v3

Authors: Jianshi Yan

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.

Keywords

projective 4-folds general type geometric genus canonical map canonical volume

Cite

@article{arxiv.1904.09393,
  title  = {On minimal 4-folds of general type with $p_g \geq 2$},
  author = {Jianshi Yan},
  journal= {arXiv preprint arXiv:1904.09393},
  year   = {2021}
}

Comments

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

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