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سند علمی

Wonderful Varieties of Type D

PAOLO BRAVI, GUIDO PEZZINI

چکیده

Let G be a connected semisimple group over C, whose simple components have type A or D. We prove that wonderful G-varieties are classified by means of combinatorial objects called spherical systems. This is a generalization of a known result of Luna for groups of type A; thanks to another result of Luna, this implies also the classification of all spherical G-varieties for the groups G we are considering. For these G we also prove the smoothness of the embedding of Demazure.

اسناد مشابه

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    سند علمی۲۰۰۴G. PEZZINI

    We show that the proof of Luna’s conjecture about the classification of general wonderful G-varieties can be reduced to the analysis of finitely many families of primitive cases. We work out all primitive cases arising with any classical group G. Luna’s conjecture states that, fo

  • Classification of Strict Wonderful Varieties

    سند علمی۲۰۰۸P. BRAVI

    In the setting of strict wonderful varieties we answer positively to Luna’s conjecture, saying that wonderful varieties are classified by combinatorial objects, the so-called spherical systems. In particular, we prove that strict wonderful varieties are mostly obtained from symme

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    We study the cone of effective divisors and the total coordinate ring of wonderful varieties, with applications to their automorphism group. We show that the total coordinate ring of any spherical variety is obtained from that of the associated wonderful variety by a base change

  • N ov 2 00 8 INVARIANT HILBERT SCHEMES AND WONDERFUL VARIETIES STÉPHANIE

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    The invariant Hilbert schemes considered in [4] were proved to be affine spaces. The proof relied on the classification of strict wonderful varieties. We obtain in the present article a classification-free proof of the affinity of these invariant Hilbert scheme by means of deform

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    سند علمی۲۰۰۸GUIDO PEZZINI

    Let G be a semisimple connected linear algebraic group over C, and X a wonderful G-variety. We study the possibility of realizing X as a closed subvariety of the projective space of a simple G-module. For any wonderful variety X we give a necessary and sufficient condition in ter

  • Wonderful Varieties of Type E

    سند علمی۲۰۰۷PAOLO BRAVI

    The classification of spherical varieties is already known for semisimple groups of types A and D. Adding type E, we complete the classification for all semisimple groups with a simply laced Dynkin diagram.