Web10. 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 … Web1. 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 ...
Visible actions of compact Lie groups on complex spherical varieties
Web10. jún 2000 · These varieties include Grassmannians, ag manifolds, and homogeneous spaces G=P and their Schubert subvarieties, toric varieties, varieties of complete quadrics … WebSymmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces, and they are interesting examples of spherical varieties. We prove that all smooth Fano symmetric varieties with Picard number one admit Kähler–Einstein metrics by using a combinatorial criterion for K-stability of Fano spherical varieties … interview outcome follow up email
EUDML Classification of spherical varieties
WebEvery flag variety, and indeed every projective variety homogeneous under a linear algebraic group, is a Mori Dream Space. In fact, there is a class of varieties that contains both projective homogeneous varieties and toric varieties (another large class of Mori Dream Spaces), namely "spherical varieties". Web29. apr 2024 · M. Huruguen, Toric varieties and spherical embeddings over an arbitrary field, J. Algebra 342 (2011), 212–234. Article MathSciNet Google Scholar J. Jahnel, The … WebWe give a short introduction to the problem of classification of spherical varieties, by presenting the Luna conjecture about the classification of wonderful varieties and … interview outcome