A note on degenerations of del Pezzo surfaces

Abstract

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.

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

References in corpus (3)

• Smoothable del Pezzo surfaces with quotient singularities
• Exceptional bundles associated to degenerations of surfaces
• On semistable Mori contractions

Cited by in corpus (4)

• K-stability of smooth del Pezzo surfaces
• Log canonical degenerations of del Pezzo surfaces in Q-Gorenstein families
• On characterization of toric varieties
• Jordan constant for Cremona group of rank 3