Normality of orbit closure

Author: lzvm

August undefined, 2024

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. 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 …

Normality of orbit closures in the enhanced nilpotent cone

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 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 ... herring bank in amarillo

Normality of orthogonal and symplectic nilpotent orbit closures …

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 ... 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 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 herring bank online official site login

Normality of Closures of Orthogonal Nilpotent Symmetric Orbits

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 … 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 … maxxpress corpWebof 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 … herring bank online sign in

"Web12 de set. de 2011 · Abstract Let $\\Delta $ be a Euclidean quiver. We prove that the closures of the maximal orbits in the varieties of representations of $\\Delta $ are … " - Normality of orbit closure

Normality of orbit closure

Normality of Maximal Orbit Closures for Euclidean Quivers

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 … 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 …

Did you know?

WebB. 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 … WebGEOMETRY OF ORBIT CLOSURES FOR E6, F4, G2 5 Let (Xn,αk) be one of the representations on our list.It deﬁnes the grading g= ⊕i∈Zgi where gi is the span of the roots which, written as a combination of simple roots, have αk with coeﬃcient i. The component g0 contains in addition a Cartan subal- gebra. G0 denotes the connected …

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 … 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 …

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 …

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 …

WebWe 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 ... herring bank customer service numberWeb27 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 … herring bank phone numberWebLexX 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 … maxx power drive rc rock climberWebNormality 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 … herring bank in colorado springsWeb29 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 … maxxprime mesh back cushionWebMy 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. maxx powersports winchesterWeb21 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 … maxxpreps south broward