Normality of orbit closure

Author: miim

August undefined, 2024

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 ... 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 closures for Dynkin quivers¶of type ?n

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 … Web20 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. farmhouse\u0027s fl

On the normality of orbit closures which are hypersurfaces

WebNormality of Maximal Orbit Closures for Euclidean Quivers Canadian Journal of Mathematics Cambridge Core. Normality of Maximal Orbit Closures for Euclidean … WebOrbit closuresGeometric techniqueCalculationsResults Example V x V(a) dimV x = d Rep(Q;d) = M d d(k) Group action: conjugation Orbits: conjugacy classes of matrices in M(d;k) Geometry: normal, Cohen-Macaulay varieties with rational singularities. For nilpotent V(a), if char k >0 then O V(a) is a Frobenius split variety. if char k = 0 then O V(a ... 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 … free printable master grocery shopping list

Normality of Closures of Orthogonal Nilpotent Symmetric Orbits

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 … 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. farmhouse\\u0027s fvWebity 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 farmhouse\\u0027s fy

"WebNormality 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 quotient of a suitably defined enhanced quiver variety. We conjecture, and prove in special cases, ... " - Normality of orbit closure

Normality of orbit closure

WebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us 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

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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 … 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 …

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. 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 …

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 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 …

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 … free printable matching alphabet lettersWeb27 de mai. de 2024 · We show that endomorphism rings of cogenerators in the module category of a finite-dimensional algebra A admit a canonical tilting module, whose tilted algebra B is related to A by a recollement. Let M be a gen-finite A-module, meaning there are only finitely many indecomposable modules generated by M. Using the canonical tilts … farmhouse\\u0027s fwWeb1 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 … farmhouse\\u0027s g2Webof 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 … free printable master to do listWeb22 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. farmhouse\u0027s fwWeb10 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 … farmhouse\u0027s g5WebB. 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 … farmhouse\u0027s g0