A combinatorial smoothness criterion for spherical varieties

Abstract

We suggest a combinatorial criterion for the smoothness of an arbitrary spherical variety using the classification of multiplicity-free spaces, generalizing an earlier result of Camus for spherical varieties of type $A$.

14 pages, 2 tables

References in corpus (2)

• Classification of smooth affine spherical varieties
• The Cox ring of a spherical embedding

Cited by in corpus (2)

• Degenerations of spherical subalgebras and spherical roots
• Horospherical varieties with quotient singularities