Q-Gorenstein deformations of nonnormal surfaces

• Autores: Nikolaos Tziolas
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 131, Nº 1, 2009, págs. 171-194
• Idioma: inglés
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• Resumen

  • Let $\Delta \subset H$ be the germ of a nonnormal surface along a proper curve with smooth components such that the high index points of $H$ are semi-log-terminal and the Gorenstein singular points are semi-log-canonical of embedding dimension at most 4. We describe the sheaf $T^1_{qG}(H)$ of ${\Bbb Q}$-Gorenstein deformations of $H$ and we obtain criteria for $\Delta\subset H$ to have ${\Bbb Q}$-Gorenstein terminal smoothings