English

On the canonical degrees of Gorenstein threefolds of general type

Algebraic Geometry 2016-03-17 v3

Abstract

Let XX be a Gorenstein minimal projective 33-fold with at worst locally factorial terminal singularities. Suppose that the canonical map is generically finite onto its image. C. Hacon showed that the canonical degree is universally bounded by 576576. We improved Hacon's universal bound to 360360. Moreover, we gave all the possible canonical degrees of XX if XX is an abelian cover over P3\mathbb{P}^3 and constructed all the examples with these canonical degrees.

Keywords

Cite

@article{arxiv.1509.04832,
  title  = {On the canonical degrees of Gorenstein threefolds of general type},
  author = {Rong Du and Yun Gao},
  journal= {arXiv preprint arXiv:1509.04832},
  year   = {2016}
}

Comments

Any comments are welcome. arXiv admin note: text overlap with arXiv:1205.2439