TITLE

The Moduli Scheme of Affine Spherical Varieties with a Free Weight Monoid

AUTHOR(S)
Bravi, Paolo; Steirteghem, Bart Van
PUB. DATE
August 2016
SOURCE
IMRN: International Mathematics Research Notices;2016, Vol. 2016 Issue 15, p4544
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study Alexeev and Brion's moduli scheme MΓMΓ of affine spherical varieties with weight monoid ΓΓ under the assumption that ΓΓ is free. We describe the tangent space to MΓMΓ at its "most degenerate point" in terms of the combinatorial invariants of spherical varieties and deduce that the irreducible components of MΓMΓ, equipped with their reduced induced scheme structure, are affine spaces.
ACCESSION #
119878454

 

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