Poisson Geometry of the Grothendieck Resolution of a Complex Semisimple Group
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چکیده
We study a Poisson structure π on the Grothendieck resolution X of a complex semi-simple group G and prove that the desingularization map μ : (X,π)→ (G,π0) is Poisson, where π0 is a Poisson structure such that intersections of conjugacy classes and opposite Bruhat cells BwB− are Poisson subvarieties. We compute the symplectic leaves of X and show that (X,π) resolves singularities of (G,π0).
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تاریخ انتشار 2006