A note on degenerations of del Pezzo surfaces

preprint2014arXivOpen access

Abstract

We prove that for a Q-Gorenstein degeneration XX of del Pezzo surfaces, the number of non-Du Val singularities is at most ρ(X)+2ρ(X)+2. Degenerations with ρ(X)+2ρ(X)+2 and ρ(X)+1ρ(X)+1 non-Du Val points are investigated.

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