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arxiv: 1212.3051 · v2 · submitted 2012-12-13 · 🧮 math.AG

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Vanishing cycles on Poisson varieties

Michael Finkelberg , Dmitry Kubrak
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classification 🧮 math.AG
keywords cyclespoissonvarietiesaffinecharacteristiccohomologycomputeconjecture
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We extend slightly the results of Evens-Mirkovi\'c, and "compute" the characteristic cycles of Intersection Cohomology sheaves on the transversal slices in the double affine Grassmannian and on the hypertoric varieties. We propose a conjecture relating the hyperbolic stalks and the microlocalization at a torus-fixed point in a Poisson variety.

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