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DEMAZURE ROOTS AND SPHERICAL VARIETIES: THE EXAMPLE OF HORIZONTAL SL2ACTIONS
"... Abstract. Let G be a connected reductive group, and let X be an affine Gspherical variety. We show that the classification of Gaactions on X normalized by G can be reduced to the description of quasiaffine homogeneous spaces under the action of a semidirect product Ga ⋊ G with the following prop ..."
Classification of smooth affine spherical varieties
"... Let G be a complex reductive group. A normal Gvariety 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 Kmanifolds, K a maximal compact sub ..."
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Cited by 14 (1 self)
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Let G be a complex reductive group. A normal Gvariety 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 Kmanifolds, K a maximal compact
Toric Degenerations of Spherical Varieties
 SELECTA MATH. (N.S
, 2004
"... We prove that any affine, resp. polarized projective, spherical variety admits a flat degeneration to an affine, resp. polarized projective, toric variety. Motivated by Mirror Symmetry, we give conditions for the limit toric variety to be a Gorenstein Fano, and provide many examples. We also provid ..."
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Cited by 40 (0 self)
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We prove that any affine, resp. polarized projective, spherical variety admits a flat degeneration to an affine, resp. polarized projective, toric variety. Motivated by Mirror Symmetry, we give conditions for the limit toric variety to be a Gorenstein Fano, and provide many examples. We also
ADDITIVE GROUP ACTIONS ON AFFINE TVARIETIES OF COMPLEXITY ONE IN ARBITRARY CHARACTERISTIC
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SPHERICAL VARIETIES WITH THE A2PROPERTY GIULIANO GAGLIARDI
"... Abstract. We show that a spherical variety has the A2property, i.e. any two points are contained inside an affine open neighbourhood, if and only if the relative interiors of any two cones of its colored fan do not intersect. ..."
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Abstract. We show that a spherical variety has the A2property, i.e. any two points are contained inside an affine open neighbourhood, if and only if the relative interiors of any two cones of its colored fan do not intersect.
Spherical varieties and Langlands duality
, 2004
"... Abstract. Let G be a connected reductive complex algebraic group. This paper is devoted to the space Z of meromorphic quasimaps from a curve into an affine spherical Gvariety X. The space Z may be thought of as an algebraic model for the loop space of X. The theory we develop associates to X a conn ..."
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Cited by 8 (2 self)
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Abstract. Let G be a connected reductive complex algebraic group. This paper is devoted to the space Z of meromorphic quasimaps from a curve into an affine spherical Gvariety X. The space Z may be thought of as an algebraic model for the loop space of X. The theory we develop associates to X a
Results 1  10
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45,007