Resolution of singularities of the odd nilpotent cone of orthosymplectic Lie superalgebras

TL;DR

This paper constructs a Springer-type resolution for the singularities of the odd nilpotent cone in orthosymplectic Lie superalgebras, advancing understanding of their geometric structure.

Contribution

It introduces a novel resolution method specifically for the odd nilpotent cone in orthosymplectic Lie superalgebras, expanding geometric tools in superalgebra theory.

Findings

Successful construction of a Springer-type resolution

Enhanced understanding of the geometric structure of the odd nilpotent cone

Potential applications in representation theory of Lie superalgebras

Abstract

We construct a Springer-type resolution of singularities of the odd nilpotent cone of the orthosymplectic Lie superalgebras osp(m|2n).