103 citations · 686 across the 101 of their papers we have counts for
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A bound on the Hodge filtration of the de Rham cohomology of supervarieties
Alexander Polishchuk, Dmitry Vaintrob
We study the relation between the Hodge filtration of the de Rham cohomology of a proper smooth supervariety and the usual Hodge filtration of the corresponding reduced variety…
Bosonization of Feigin-Odesskii Poisson varieties
Zheng Hua, Alexander Polishchuk
The derived moduli stack of complexes of vector bundles on a Gorenstein Calabi-Yau curve admits a 0-shifted Poisson structure. Feigin-Odesskii Poisson varieties are examples of suc…
De Rham cohomology for supervarieties
Alexander Polishchuk
We study the de Rham cohomology and the Hodge to de Rham spectral sequence for supervarieties.
Ten Compatible Poisson Brackets on
Ville Nordstrom, Alexander Polishchuk
We give explicit formulas for ten compatible Poisson brackets on found in arXiv:2007.12351.
Compatible Feigin-Odesskii Poisson brackets
Nikita Markarian, Alexander Polishchuk
We prove that several Feigin-Odesskii Poisson brackets associated with normal elliptic curves in are compatible if and only if they are contained in a scroll or in…
Linear subspaces in cubic hypersurfaces
Alexander Polishchuk, Chen Wang
We prove that for any cubic polynomial of slice rank , the intersection of all linear subspaces of minimal codimension contained in the corresponding hypersurface has codimensio…