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arxiv: 0707.4567 · v2 · submitted 2007-07-31 · 🧮 math.AG · math.CO

A boundedness result for toric log Del Pezzo surfaces

classification 🧮 math.AG math.CO
keywords surfacesboundpezzotoricupperboundednessgivegiven
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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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