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A note on degenerations of del Pezzo surfaces

arXiv:1108.5051 · doi:10.5802/aif.2934

Abstract

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

16 pages, LaTeX, to appear at Annales de l'Institut Fourier