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Weakly-exceptional singularities in higher dimensions

We show that infinitely many Gorenstein weakly-exceptional quotient singularities exist in all dimensions, we prove a weak-exceptionality criterion for five-dimensional quotient singularities, and we find a sufficient condition for being weakly-exceptional for six-dimensional quotient singularities. The proof is naturally linked to various classical geometrical constructions related to subvarieties of small degree in projective spaces, in particular Bordiga surfaces and Bordiga threefolds.

preprint2012arXivOpen access
Ivan CheltsovConstantin Shramov
math.GRmath.AG
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Ivan CheltsovConstantin Shramov

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