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arxiv: 1303.5916 · v1 · pith:IXE66WYZnew · submitted 2013-03-24 · 🧮 math.AG · math.DG

Poisson cohomology of two Fano threefolds

classification 🧮 math.AG math.DG
keywords poissonthreefoldscohomologyfanoalongcasecomputeconsidering
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We study the variety of Poisson structures and compute Poisson cohomology for two families of Fano threefolds - smooth cubic threefolds and the del Pezzo quintic threefold. Along the way we reobtain by a different method earlier results of Loray, Pereira and Touzet in the special case we are considering.

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