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arXiv:1406.1713 [math.AG]AbstractReferencesReviewsResources

On the irreducible components of moduli schemes for affine spherical varieties

Roman Avdeev, Stéphanie Cupit-Foutou

Published 2014-06-06, updated 2014-11-17Version 2

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.

Comments: v2 32 pages; v2 generalizes the results obtained in v1 to any finitely generated and saturated monoid
Categories: math.AG, math.RT
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