103 citations · 686 across the 101 of their papers we have counts for
112 papers
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.
Hecke operators for curves over non-archimedean local fields and related finite rings
Alexander Braverman, David Kazhdan, Alexander Polishchuk +1
We study Hecke operators associated with curves over a non-archimedean local field and over the rings , where is the ring of integers. Our main…
Automorphic functions for nilpotent extensions of curves over finite fields
Alexander Braverman, David Kazhdan, Alexander Polishchuk
We define and study the subspace of cuspidal functions for -bundles on a class of nilpotent extensions of curves over a finite field. We show that this subspace is preserved…
Ten Compatible Poisson Brackets on
Ville Nordstrom, Alexander Polishchuk
We give explicit formulas for ten compatible Poisson brackets on found in arXiv:2007.12351.