Components of Affine Springer Fibers
نویسندگان
چکیده
منابع مشابه
Smooth Components of Springer Fibers
This article studies components of Springer fibers for gl(n) that are associated to closed orbits of GL(p) × GL(q) on the flag variety of GL(n), n = p+ q. These components occur in any Springer fiber. In contrast to the case of arbitrary components, these components are smooth varieties. Using results of Barchini and Zierau we show these components are iterated bundles and are stable under the ...
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Assuming a certain “purity” conjecture, we derive a formula for the (complex) cohomology groups of the affine Springer fiber corresponding to any unramified regular semisimple element. We use this calculation to present a complex analog of the fundamental lemma for function fields. We show that the “kappa” orbital integral that arises in the fundamental lemma is equal to the Lefschetz trace of ...
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For a projective variety endowed with a torus action, the equivariant cohomology is determined by the fixed points of codimension 1 subtori. Especially, when the fixed points of the torus are finite and fixed varieties under the action of codimension 1 subtori have dimension less than or equal to 2, equivariant cohomology can be described by discrete conditions on the pair of fixed points via G...
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Let k be an algebraically closed field, G a connected reductive group over k, and A a maximal torus in G. We write g for the Lie algebra of G and a for X∗(A)⊗ZR. Let F = k((ǫ)) be the field of formal Laurent series over k and let o = k[[ǫ]] be the subring of formal power series. We fix an algebraic closure F̄ of F . We write G and g for G(F ) and g(F ) := g ⊗k F respectively. Let y ∈ a and write...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2018
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rny085