Spherical varieties
Web1. júl 2008 · We generalize this description to an arbitrary spherical variety X of G as follows. Irreducible unramified quotients of the space are in natural ‘almost bijection’ with a number of copies of A X * / W X, the quotient of a complex torus by the ‘little Weyl group’ of X. This leads to a description of the Hecke module of unramified vectors ... Web10. jún 2000 · These varieties include Grassmannians, ag manifolds, and homogeneous spaces G=P and their Schubert subvarieties, toric varieties, varieties of complete quadrics …
Spherical varieties
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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 … Web29. feb 2012 · In its initial conception, as given in the book [102] of Sakellaridis-Venkatesh, the relative Langlands program is concerned with a spherical subgroup H ⊂ G, so that X = H\G is a spherical...
Web3. okt 2011 · Classification of spherical varieties. Paolo Bravi 1. Les cours du CIRM, Tome 1 (2010) no. 1, pp. 99-111. Résumé. We give a short introduction to the problem of classification of spherical varieties, by presenting the Luna conjecture about the classification of wonderful varieties and illustrating some of the related currently known … Web19. jan 2003 · Boundedness of spherical Fano varieties. We prove that for any e>0, there exists only finitely many e-log terminal spherical Fano varieties of fixed dimension. We also introduce an invariant of a spherical subgroup H in a reductive group G which measures how nice an equivariant Fano compactification G/H there exists.
Web14. nov 2024 · A spherical variety is a normal variety X together with an action of a connected reductive affine algebraic group G, a Borel subgroup B ⊂ G, and a base point x 0 ∈ X such that the B -orbit of x 0 in X is a dense open subset of X. Web26. máj 2009 · Spherical functions on spherical varieties. Yiannis Sakellaridis. Let X=H\G be a homogeneous spherical variety for a split reductive group G over the integers o of a p …
WebIn short, the visibility is a geometric condition that assures the multiplicity-freeness property. In this article we consider the converse direction when U U is a compact real form of a connected complex reductive algebraic group G G and X X is an irreducible complex algebraic G G -variety. In this setting the multiplicity-freeness property of ...
WebA nice feature of a spherical homogeneous space is that any embedding of it (called a spherical variety) contains only finitely many G-orbits, and these are themselves … send stuffed animal to hospitalWeb29. sep 2024 · We review some aspects of the geometry of spherical varieties. We first describe the structure of B-orbits. Using the local structure theorems, we describe the … send sunflowers brisbaneWeb0 Likes, 0 Comments - Ralf im Wald (@mit_ralf_im_wald) on Instagram: "Schweizer Wasserbirne voller Knospen Die Schweizer Wasserbirne gehört zu der Sorte der ... send suffolk local offerWeb1. Spherical varieties 1.1. What is a spherical variety? A G-variety Xover F qis called spherical if X kis a normal variety with an open dense orbit of a Borel B kˆG k after base change to k. One should think of this as a niteness property. For example, Brion proved the above de nition is equivalent to X k having nitely many B k orbits. The ... send substance designer to substance painterWebSpherical varieties, functoriality, and quantization. Submitted to the Proceedings of the 2024 ICM, 44pp. 2009.03943 : Intersection complexes and unramified L-factors. (With Jonathan … send stuff to ukraineWebA 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. send stuffed animal giftWeb10. júl 2024 · Spherical varieties (spherical homogeneous spaces and spherical embeddings) were considered in works of Luna, Vust, Brion, Knop, Losev, and others. The classification of spherical homogeneous spaces over algebraically closed fields of characteristic $0$ was completed in the works of Losev [ 37 ] and Bravi and Pezzini [ 13 … send substance painter to substance designer