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arxiv: 1307.1999 · v2 · pith:IQN6LOJVnew · submitted 2013-07-08 · 🧮 math.AG

Geography of Gorenstein stable log surfaces

classification 🧮 math.AG
keywords stablegeographygorensteininequalitiesinequalityinvariantssurfacesbecome
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We study the geography of Gorenstein stable log surfaces and prove two inequalities for their invariants: the stable Noether inequality and the $P_2$-inequality. By constructing examples we show that all invariants are realised except possibly some cases where the inequalities become equalities.

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