2 papers
math.RT2024
Sylow theorems for supergroups
Vera Serganova, Alexander Sherman, Dmitry Vaintrob
We introduce Sylow subgroups and -groups to the theory of complex algebraic supergroups, which mimic Sylow subgroups and -groups in the theory of finite groups. We prove that…
math.AG2023
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…