Rational singular loci of nilpotent varieties
William M. McGovern
TL;DR
This paper introduces two methods for computing the rational singular locus of nilpotent orbit closures in complex semisimple Lie algebras, providing new tools and examples in the study of singularities.
Contribution
It presents novel computational methods for rational singular loci in nilpotent varieties and offers several illustrative examples.
Findings
Two effective methods for computing rational singular loci.
Identification of new examples of nilpotent orbit closures with rational singularities.
Enhanced understanding of singularity structures in complex semisimple Lie algebras.
Abstract
We present two methods for computing the rational singular locus of the closure of a nilpotent orbit in a complex semisimple Lie algebra and give a number of interesting examples.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory