%0 Journal Article
%T On the irreducible components of moduli schemes for affine spherical varieties
%A Roman Avdeev
%A St¨¦phanie Cupit-Foutou
%J Mathematics
%D 2014
%I arXiv
%X We give a combinatorial description of the irreducible components of Alexeev and Brion's moduli scheme parameterizing affine spherical varieties with prescribed weight monoid. Furthermore, we prove that these irreducible components are affine spaces. As a consequence of these results, we obtain that the so-called root monoid of any affine spherical variety is free.
%U http://arxiv.org/abs/1406.1713v2