English

Examples of Mori dream surfaces of general type with $p_g=0$

Algebraic Geometry 2018-05-08 v2

Abstract

In this paper we study effective, nef and semiample cones of minimal surfaces of general type with pg=0.p_g=0. We provide examples of minimal surfaces of general type with pg=0,2K29p_g=0, 2 \leq K^2 \leq 9 which are Mori dream spaces. On these examples we also give explicit description of effective cones and all irreducible reduced curves of negative self-intersection. We also present non-minimal surfaces of general type with pg=0p_g=0 that are not Mori dream surfaces.

Keywords

Cite

@article{arxiv.1804.08382,
  title  = {Examples of Mori dream surfaces of general type with $p_g=0$},
  author = {JongHae Keum and Kyoung-Seog Lee},
  journal= {arXiv preprint arXiv:1804.08382},
  year   = {2018}
}

Comments

Add examples of non-minimal surfaces of general type with $p_g=0$ that are not Mori dream surfaces. Fix a few typos and add more details