Weakly-exceptional singularities in higher dimensions
Algebraic Geometry
2012-05-25 v4 Group Theory
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.
Cite
@article{arxiv.1111.1920,
title = {Weakly-exceptional singularities in higher dimensions},
author = {Ivan Cheltsov and Constantin Shramov},
journal= {arXiv preprint arXiv:1111.1920},
year = {2012}
}
Comments
35 pages; IPMU12-0009 (2012)