Constructions of singular rational surfaces of Picard number one with ample canonical divisor
Algebraic Geometry
2010-07-13 v1
Abstract
Koll\'ar gave a series of examples of rational surfaces of Picard number with ample canonical divisor having cyclic singularities. In this paper, we construct several series of new examples in a geometric way, i.e., by blowing up several times inside a configuration of curves on the projective plane and then by contracting chains of rational curves. One series of our examples have the same singularities as Koll\'ar's examples.
Keywords
Cite
@article{arxiv.1007.1936,
title = {Constructions of singular rational surfaces of Picard number one with ample canonical divisor},
author = {DongSeon Hwang and JongHae Keum},
journal= {arXiv preprint arXiv:1007.1936},
year = {2010}
}
Comments
13 pages, 7 figures