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arXiv · 1111.1920

Weakly-exceptional singularities in higher dimensions

Ivan Cheltsov·Constantin Shramov
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Abstract

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.

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Ivan Cheltsov, Constantin Shramov. 2011-11-08. Weakly-exceptional singularities in higher dimensions. https://arxiv.org/abs/1111.1920

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