Note on the Hilbert polynomial of a spherical variety
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Publication:1392338
DOI10.1007/BF02466023zbMath0928.14032MaRDI QIDQ1392338
Publication date: 11 October 1998
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Geometric invariant theory (14L24) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)
Related Items (11)
Integrable systems, toric degenerations and Okounkov bodies ⋮ Equivariant \(\mathbb{R}\)-test configurations and semistable limits of \(\mathbb{Q}\)-Fano group compactifications ⋮ Moment polytopes, semigroup of representations and Kazarnovskii's theorem ⋮ The volume of Kähler-Einstein Fano varieties and convex bodies ⋮ Newton-Okounkov bodies of exceptional curve valuations ⋮ Newton polytopes, increments, and roots of systems of matrix functions for finite-dimensional representations ⋮ SAGBI bases and degeneration of spherical varieties to toric varieties ⋮ Newton-Okounkov polyhedra for character varieties and configuration spaces ⋮ Complete intersections in spherical varieties ⋮ Newton-Okounkov polytopes of flag varieties for classical groups ⋮ Intersections of hypersurfaces and ring of conditions of a spherical homogeneous space
Cites Work
- Groupe de Picard et nombres caractéristiques des variétés sphériques. (Picard group and characteristic numbers of spheric varieties.)
- Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups
- Geometric quantization and multiplicities of group representations
- Quasimodes generated by characters of a dynamical group, and deformation of the Kirillov form
- Polyedres de Newton et nombres de Milnor
- Brunn-Minkowski inequality for multiplicities
- Angular momentum, convex Polyhedra and Algebraic Geometry
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