English

A boundedness result for toric log Del Pezzo surfaces

Algebraic Geometry 2010-02-14 v2 Combinatorics

Abstract

In this paper we give an upper bound for the Picard number of the rational surfaces which resolve minimally the singularities of toric log Del Pezzo surfaces of given index \ell. This upper bound turns out to be a quadratic polynomial in the variable \ell.

Keywords

Cite

@article{arxiv.0707.4567,
  title  = {A boundedness result for toric log Del Pezzo surfaces},
  author = {Dimitrios I. Dais and Benjamin Nill},
  journal= {arXiv preprint arXiv:0707.4567},
  year   = {2010}
}

Comments

10 pages; final version (typos corrected, references updated)

R2 v1 2026-06-21T09:03:20.916Z