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ℚ-Gorenstein deformations of nonnormal surfaces
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 131, Number 1, February 2009
- pp. 171-193
- 10.1353/ajm.0.0039
- Article
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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.