Redundant blow-ups of rational surfaces with big anticanonical divisor
Algebraic Geometry
2014-11-17 v1
Abstract
We completely classify redundant blow-ups appearing in the theory of rational surfaces with big anticanonical divisor due to Sakai. In particular, we construct a rational surface with big anticanonical divisor which is not a minimal resolution of a del Pezzo surface with only rational singularities, which gives a negative answer to a question raised in a paper by Testa, V\'{a}rilly-Alvarado, and Velasco.
Keywords
Cite
@article{arxiv.1411.3891,
title = {Redundant blow-ups of rational surfaces with big anticanonical divisor},
author = {DongSeon Hwang and Jinhyung Park},
journal= {arXiv preprint arXiv:1411.3891},
year = {2014}
}
Comments
16 pages. This was part of math.AG/1303.2274, which has been divided into two parts