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- W1964571671 abstract "Given a family of surfaces of general type over a smooth curve, one can apply semistable reduction and the minimal model program to obtain a stable reduction. This is the basis for a geometric compactification for moduli spaces of surfaces of general type, due to Kollár, Shepherd-Barron, and Alexeev. However, this approach hinges on the fact that the resulting stable limit has relatively mild singularities; in particular, it should be Cohen–Macaulay. Unfortunately, the standard formalism does not guarantee that stable limits of families of log surfaces are Cohen–Macaulay. Here we prove that this is the case." @default.
- W1964571671 created "2016-06-24" @default.
- W1964571671 creator A5025173159 @default.
- W1964571671 date "2001-08-01" @default.
- W1964571671 modified "2023-09-27" @default.
- W1964571671 title "Stable Limits of Log Surfaces and Cohen–Macaulay Singularities" @default.
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- W1964571671 doi "https://doi.org/10.1006/jabr.2001.8761" @default.
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