Characterizing quasi-affine spherical varieties via the automorphism group

Let $G$ be a connected reductive algebraic group. In this note we prove that for a quasi-affine $G$-spherical variety the weight monoid is determined by the weights of its non-trivial $\mathbb{G}_a$-actions that are homogeneous with respect to a Borel subgroup of $G$. As an application we get that a...

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Hauptverfasser:	Regeta, Andriy, van Santen, Immanuel
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Geometry
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