Characterizing smooth affine spherical varieties via the automorphism group

نویسندگان

چکیده

Let G be a connected reductive algebraic group. We prove that for quasi-affine G-spherical variety the weight monoid is determined by weights of its non-trivial ???? -actions are homogeneous with respect to Borel subgroup G. As an application we get smooth affine spherical non-isomorphic torus automorphism group (considered as ind-group) inside category irreducible varieties.

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ژورنال

عنوان ژورنال: Journal de l'E?cole polytechnique

سال: 2021

ISSN: ['2429-7100', '2270-518X']

DOI: https://doi.org/10.5802/jep.149