Normality of orbit closure

Author: ctfp

August undefined, 2024

WebThe normality of the orbit closure ON in the case (C) of Theorem 1.2 is an open question in general, and we shall handle it in a separated paper. Since ON is an irreducible aﬃne hypersurface, then, by a well-known criterion of Serre (see, for example, [7, III.8]), its normality is equivalent to WebLexX be the closure of aG-orbit in the Lie algebra of a connected reductive groupG. It seems that the varietyX is always normal. After a reduction to nilpotent orbits, this is proved for some special cases. Results on determinantal schemes are used forGl n . IfX is small enough we use a resolution and Bott's theorem on the cohomology of homogeneous …

Orbit closures of quiver representations

WebCanad. J. Math. Vol. 64 (6), 2012 pp. 1222–1247 http://dx.doi.org/10.4153/CJM-2012-012-7 Canadian Mathematical Society 2012c Normality of Maximal Orbit Closures for ... greenhouse ocean state job lot

On the normality of orbit closures which are hypersurfaces

WebNORMALITY OF ORBIT CLOSURES 5 A bipartition of size n is simply an ordered pair (μ;ν) of partitions with μ + ν =n.We put Q n ={bipartitions of size n}. Given a bipartition … WebarXiv:1004.3822v1 [math.RT] 22 Apr 2010 NORMALITY OF ORBIT CLOSURES IN THE ENHANCED NILPOTENT CONE PRAMOD N. ACHAR, ANTHONY HENDERSON, AND … Web1 de jan. de 2015 · Download PDF Abstract: In this note we investigate the normality of closures of orthogonal and symplectic nilpotent orbits in positive characteristic. We prove … greenhouse occupancy

$arXiv:1501.00249v2 [math.RT] 28 Sep 2015$

Normality of Torus Orbit Closures in G=P - ResearchGate

WebNormality and Non Normality Of Certain Semigroups and Orbit Closures 19 A := ⊕ nH0(X,L nλ), L µ being the line bundle onX corresponding to µ. Let us take now for each … Web24 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. flybook software llcWebNormality of orbit closures in the enhanced nilpotent cone - Volume 203. Skip to main content Accessibility help ... We prove that each closure is an invariant-theoretic … fly book series

"WebAs a consequence, we obtain the normality of certain orbit closures of type E. 1 Introduction. Let K be a field of characteristic zero. A quiver is a pair Q=(Q 0,Q 1) where Q 0 is a set of vertices and Q 1 is a set of arrows. ... In the case of Dynkin quivers, the variety Y =q(Z(Q,β⊂β+γ)) is an orbit closure: Z(Q, ... " - Normality of orbit closure

Normality of orbit closure

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 … WebNormality of Maximal Orbit Closures for Euclidean Quivers Canadian Journal of Mathematics Cambridge Core. Normality of Maximal Orbit Closures for Euclidean …

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Web1 de dez. de 1979 · Abstract. Let X be the closure of a G-orbit in the Lie algebra of a connected reductive group G. It seems that the variety X is always normal. After a reduction to nilpotent orbits, this is proved ... WebMy 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.

WebLexX be the closure of aG-orbit in the Lie algebra of a connected reductive groupG. It seems that the varietyX is always normal. After a reduction to nilpotent orbits, this is … WebIt is known that the orbit closures for the representations of the equioriented Dynkin quivers ? n are normal and Cohen–Macaulay varieties with rational singularities. In the paper we …

Web1 de abr. de 2006 · Normality of orbit closures for Dynkin quivers of type A n. Manuscripta Math., 105 (2001), pp. 103-109. View Record in Scopus Google Scholar. ... An orbit closure for a representation of the Kronecker quiver with bad singularities. Colloq. Math., 97 (2003), pp. 81-86. CrossRef View Record in Scopus Google Scholar Web22 de abr. de 2010 · We prove that each closure is an invariant-theoretic quotient of a suitably-defined enhanced quiver variety. We conjecture, and prove in special cases, that these enhanced quiver varieties are normal complete intersections, implying that the enhanced nilpotent orbit closures are also normal.

Webbe the closure of the orbit of;c f. Then the \-cycle C— CΊ 4- ••• -f C s is Q-homologous to zero in X. 2) Suppose that G = C. Let C be a closure of some orbit such that either C is singular or (C is nonsingular but) the intersection of C with XG is not transversal. Then C is Q-homomologous to zero in X.

Web1 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 … greenhouse offers on leaflet storeWeb10 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 … green house offers dubaiWeb3 de fev. de 2016 · In this paper, we prove the normality of the orbit closure $\bar {\mathcal {O}}_{N}$ when it is a hypersurface. The result thus gives new examples of … flybook下载WebThe normality of closures of nilpotent orbit of classical group have been studied by several authors. However, there is still an open question to decide the normality of the closures … flybook supportWebWe recall the dimension formula for the orbit Cλ from [10, Remark 8]: dimCλ = 1 2 n2 − t i=1 λ2 i.(2) As the nilpotent cone of p(V) is G(V)-stable with only finitely many orbits, we have that orbit closure Cλ is G(V)-stable, and the complement Cλ \Cλ is a disjoint union of finitely many orbits. The relation Cμ ⊆ Cλ produces a ... greenhouse offersWebity 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 flyboomerang.comWebB. 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 … fly-boost