A boundedness result for toric log Del Pezzo surfaces

Details A boundedness result for toric log Del Pezzo surfaces A boundedness result for toric log Del Pezzo surfaces

2007-07-31

arxiv.org/abs/0707.4567v2

Archiv Math. 91 (2008), 526-535

Mathematics

Algebraic Geometry

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

Scientific paper

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 $\ell$.

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