منابع مشابه
Smoothing of Quiver Varieties
We show that Gorenstein singularities that are cones over singular Fano varieties provided by so-called flag quivers are smoothable in codimension three. Moreover, we give a precise characterization about the smoothability in codimension three of the Fano variety itself.
متن کاملProblems on Quiver Varieties
(1) Study the class of hyper-Kähler manifolds which are hyper-Kähler reductions of finite dimensional quaternion vector spaces by products of unitary groups. (Probably it is better to assume that the action is linear.) Besides quiver varieties, hyper-Kähler toric varieties in the sense of Bielawski and Dancer [2] are such examples. When the quotients are nonsingular ? How much of geometric prop...
متن کاملQuantized Quiver Varieties
1.1. General formalism and basic examples. Let A = ⊕ i>0Ai be a graded algebra equipped with a Poisson bracket {·, ·} that has degree −1 because {Ai, Aj} ⊂ Ai+j−1. By a quantization of A one means a pair (A, ι), where • A is a filtered associative unital algebra A = ∪ i>0 A6i. • ι : grA → A is an isomorphism of graded Poisson algebras. Recall that grA := ⊕ i>0 A6i/A6i−1 is a graded algebra. Tha...
متن کاملQuiver Varieties and Branching
Braverman-Finkelberg [4] recently propose the geometric Satake correspondence for the affine Kac-Moody group Gaff . They conjecture that intersection cohomology sheaves on the Uhlenbeck compactification of the framed moduli space of Gcpt-instantons on R /Zr correspond to weight spaces of representations of the Langlands dual group G∨aff at level r. When G = SL(l), the Uhlenbeck compactification...
متن کاملGrothendieck Classes of Quiver Varieties
We prove a formula for the structure sheaf of a quiver variety in the Grothendieck ring of its embedding variety. This formula generalizes and gives new expressions for Grothendieck polynomials. Our formula is stated in terms of coefficients that are uniquely determined by the geometry and can be computed by an explicit combinatorial algorithm. We conjecture that these coefficients have signs t...
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2009
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-009-0255-6