Normality of orbit closure
WebarXiv:1004.3822v1 [math.RT] 22 Apr 2010 NORMALITY OF ORBIT CLOSURES IN THE ENHANCED NILPOTENT CONE PRAMOD N. ACHAR, ANTHONY HENDERSON, AND … Web29 de out. de 2003 · For a non-generic torus orbit closure Y of G/B, one can find the corresponding fan using the Orbit-Cone correspondence. It should be noted that Y is not …
Normality of orbit closure
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Web21 de abr. de 2010 · Normality of orbit closures in the enhanced nilpotent cone. April 2010; Nagoya Mathematical ... We prove that each closure is an invariant-theoretic quotient of … Web1 de nov. de 2000 · Abstract The purpose of this note is to classify the torus orbit closures in an arbitrary algebraic homogeneous space G / P that are ... {Normality of Torus Orbit …
Web1 de dez. de 2015 · In this note we investigate the normality of closures of orthogonal and symplectic nilpotent orbits in positive characteristic. We prove that the closure of such a nilpotent orbit is normal provided that neither type d nor type e minimal irreducible degeneration occurs in the closure, and conversely if the closure is normal, then any … WebLet N be a quiver representation with non-zero admissible annihilator. In this paper, we prove the normality of the orbit closure ŌN$\\bar {\\mathcal {O}}_{N}$ when it is a hypersurface. The result thus gives new examples of normal orbit closures of quiver representations.
Webity of the orbit closure O¯N in the case (C) of Theorem 1.2 is an open question in general, and we shall handle it in a separate paper. Since O¯N is an irreducible affine hypersurface, then, by a well-known criterion of Serre (see, for example, section III.8 of [7]), its normality is equivalent to the non-singularity Web3 de fev. de 2016 · Let N be a quiver representation with non-zero admissible annihilator. In this paper, we prove the normality of the orbit closure O ̄ N $\\bar {\\mathcal {O}}_{N}$ when it is a hypersurface. The result thus gives new examples of normal orbit closures …
WebEDIT: Here I'm using shorthand to avoid normality questions: ... As Fu notes in Prop. 3.16, it follows from the main theorem of the paper that a nilpotent orbit whose closure admits …
Web10 de mar. de 2024 · We study closures of conjugacy classes in the symmetric matrices of the orthogonal group and we determine which one are normal varieties. In contrast to the result for the symplectic group where all classes have normal closure, there is only a relatively small portion of classes with normal closure. We perform a combinatorial … raymond nassifWebof Levasseur, Smith, and Vogan. They found that the failure of the closure of the eight-dimensional nilpotent orbit of G2 to be a normal variety may be "remedied" by refinding … simplified tax invoice iras singaporeWeb20 de nov. de 2024 · On Orbit Closures of Symmetric Subgroups in Flag Varieties - Volume 52 Issue 2. Due to planned system work, ecommerce on Cambridge Core will be unavailable on 12 March 2024 from 08:00 ... [12] Ramanan, S. and Ramanathan, A., Projective normality of flag varieties and Schubert varieties. simplified tax invoice format irasWeb24 de jul. de 2024 · It is easily checked that this \mathbf {C}^* -action has only positive weights and \tilde {O} becomes a conical symplectic variety. It may happen that \tilde {O} coincides with a normal nilpotent orbit closure of a different complex semisimple Lie algebra (cf. [ 3, Example 3.5]). In such a case the maximal weight is 1. simplified tax invoice iras gstWeb1 de fev. de 2016 · DOI: 10.1007/s12044-015-0260-5 Corpus ID: 255492900; On the normality of orbit closures which are hypersurfaces @article{Lc2016OnTN, title={On … raymond nathalieWebMy second question, is the same but for the orbit closure of an orbit in the enhanced nilpotent cone (see, for instance, ... For algebraic properties of these coordinate rings like normality, Gorensteinness, rational singularities, see the book. simplified tax keystone dr lansing michiganWebB. Then GV ˆg (the G-saturation of V) is the closure of a nilpotent orbit O. As explained in [15], the normality of the full nilpotent cone implies that if the induced map C[G Bu] !C[G … raymond nation