A bound on the Hodge filtration of the de Rham cohomology of supervarieties

Alexander Polishchuk; Dmitry Vaintrob

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arXiv · 2308.08083

A bound on the Hodge filtration of the de Rham cohomology of supervarieties

Alexander Polishchuk·Dmitry Vaintrob

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Abstract

We study the relation between the Hodge filtration of the de Rham cohomology of a proper smooth supervariety $X$ and the usual Hodge filtration of the corresponding reduced variety $X_0$.

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Alexander Polishchuk, Dmitry Vaintrob. 2023-08-16. A bound on the Hodge filtration of the de Rham cohomology of supervarieties. https://arxiv.org/abs/2308.08083

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