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arxiv: 1108.5051 · v2 · pith:CLOTWKSBnew · submitted 2011-08-25 · 🧮 math.AG

A note on degenerations of del Pezzo surfaces

classification 🧮 math.AG
keywords degenerationsnon-dupezzosurfacesdegenerationinvestigatednotenumber
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We prove that for a Q-Gorenstein degeneration $X$ of del Pezzo surfaces, the number of non-Du Val singularities is at most $\rho(X)+2$. Degenerations with $\rho(X)+2$ and $\rho(X)+1$ non-Du Val points are investigated.

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