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arxiv: 0909.0918 · v8 · pith:TKUQNGUAnew · submitted 2009-09-04 · 🧮 math.AG · math.DG

On exceptional quotient singularities

classification 🧮 math.AG math.DG
keywords exceptionalquotientsingularitiesalphaclassifycriterionexceptionalityfive-dimensional
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We study exceptional quotient singularities. In particular, we prove an exceptionality criterion in terms of the $\alpha$-invariant of Tian, and utilize it to classify four-dimensional and five-dimensional exceptional quotient singularities.

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