2024 Spherical varieties

Spherical varieties

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August undefined, 2024

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 … 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 …

Introduction to spherical varieties

http://relaunch.hcm.uni-bonn.de/fileadmin/perrin/spherical.pdf 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". goanimate high school

EUDML Classification of spherical varieties

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 … Web5. máj 2024 · For arbitrary spherical varieties the answer is no in general. If my memory serves me right, the spherical variety $Sp (4,\mathbb C)/ (\mathbb C^*\times SL (2,\mathbb C))$ is a counterexample. As far as I know, the $H$ -orbit structure of $G/H$ is still unknown in full generality. WebIn particular, we discuss the close relationship between log homogeneous varieties and spherical varieties, and we survey classical examples of spherical homogeneous spaces … goanimate heather

EUDML Lectures on spherical and wonderful varieties

ON MULTIPLICITY FORMULA FOR SPHERICAL VARIETIES

WebThese notes contain an introduction to the theory of spherical and wonderful varieties. We describe the Luna-Vust theory of embeddings of spherical homogeneous spaces, and explain how wonderful varieties fit in the theory. How to cite MLA BibTeX RIS Pezzini, Guido. "Lectures on spherical and wonderful varieties." WebSpherical varieties A complex algebraic variety is a spherical variety if it’s acted upon by a reductive group G and there is a dense orbit under the action of a Borel subgroup B. Reductive groups include semisimple groups (e.g., SL n, symplectic groups, orthogonal groups), tori (C)n, and general linear groups. bond tent kitcesWeb10. jún 2000 · These varieties include Grassmannians, ag manifolds, and homogeneous spaces G=P and their Schubert subvarieties, toric varieties, varieties of complete quadrics … bond tenor meaning

"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 ... " - Spherical varieties

Spherical varieties

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. jan 2006 · The equivariant automorphism group of ℙ acts on our moduli space; the spherical varieties over ℙ and their stable limits form only finitely many orbits. A variant of this moduli space gives another view to the compactifications of quotients of thin Schubert cells constructed by Kapranov and Lafforgue. Issue Section: Articles References 1 …

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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 … WebSpherical varieties, functoriality, and quantization. Submitted to the Proceedings of the 2024 ICM, 44pp. 2009.03943 : Intersection complexes and unramified L-factors. (With Jonathan …

Web0 Likes, 0 Comments - Ralf im Wald (@mit_ralf_im_wald) on Instagram: "Schweizer Wasserbirne voller Knospen Die Schweizer Wasserbirne gehört zu der Sorte der ... Web18. mar 2024 · Braverman and Kazhdan proposed a conjecture, later refined by Ngô and broadened to the framework of spherical varieties by Sakellaridis, that asserts that affine …

WebSpherical varieties are algebraic varieties equipped with an action of a certain type of algebraic group G subject to a ﬁniteness condition. The type of G will be called … WebIf the address matches an existing account you will receive an email with instructions to reset your password

Web1. dec 2014 · Abstract. Brion proved that the valuation cone of a complex spherical variety is a fundamental domain for a finite reflection group, called the little Weyl group. The principal goal of this paper ... goanimate home aloneWebTY - JOUR AU - Bravi, Paolo TI - Classification of spherical varieties JO - Les cours du CIRM PY - 2010 PB - CIRM VL - 1 IS - 1 SP - 99 EP - 111 AB - 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 ... goanimate hilareeWebAccording to a talk by Domingo Luna around 1985, the term spherical variety is not derived from spheres, at least not directly. Firstly, spheres are way too atypical, e.g., their … goanimate holiday specialWeb29. 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 … bond tenorWeb1. 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 ... goanimate held backWeb29. 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... goanimate hip hopWeb10. apr 2024 · Apr 10, 2024 (The Expresswire) -- "Final Report will add the analysis of the impact of COVID-19 on this industry." The Global Spherical Lens Ski Goggles... bond tenting