Weakly-exceptional singularities in higher dimensions

作者:Cheltsov Ivan*; Shramov Constantin
来源:Journal fur die Reine und Angewandte Mathematik, 2014, 689(689): 201-241.
DOI:10.1515/crelle-2012-0063

摘要

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 sixdimensional 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.

  • 出版日期2014-4