Weakly-exceptional singularities in higher dimensions

Details Weakly-exceptional singularities in higher dimensions Weakly-exceptional singularities in higher dimensions

2011-11-08

arxiv.org/abs/1111.1920v3

IPMU12-0009 (2012)

Mathematics

Algebraic Geometry

34 pages

Scientific paper

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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