Web29. apr 2024 · M. Huruguen, Toric varieties and spherical embeddings over an arbitrary field, J. Algebra 342 (2011), 212–234. Article MathSciNet Google Scholar J. Jahnel, The … WebSymmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces, and they are interesting examples of spherical varieties. We prove that all smooth Fano symmetric varieties with Picard number one admit Kähler–Einstein metrics by using a combinatorial criterion for K-stability of Fano spherical varieties …
Is there a Chevalley map for spherical varieties? - MathOverflow
Web5. máj 2024 · For arbitrary spherical varieties the answer is no in general. If my memory serves me right, the spherical variety $Sp (4,\mathbb C)/ (\mathbb C^*\times SL (2,\mathbb C))$ is a counterexample. As far as I know, the $H$ -orbit structure of $G/H$ is still unknown in full generality. WebThe theory of wonderful varieties is developed in §30. Applications include computation of the canonical divisor of a spherical variety and Luna’s conceptual approach to the … rich vs poor gaming setup
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Web1. dec 2014 · Abstract. Brion proved that the valuation cone of a complex spherical variety is a fundamental domain for a finite reflection group, called the little Weyl group. The principal goal of this paper ... WebA normal G-variety X is called spherical if a Borel subgroup of G has a dense orbit in X. Of particular interest are spherical varieties which are smooth and affine since they form local models for multiplicity free Hamiltonian K-manifolds, K a maximal compact subgroup of G. Web1. jan 2006 · The equivariant automorphism group of ℙ acts on our moduli space; the spherical varieties over ℙ and their stable limits form only finitely many orbits. A variant of this moduli space gives another view to the compactifications of quotients of thin Schubert cells constructed by Kapranov and Lafforgue. Issue Section: Articles References 1 … rich vs poor mod in among us