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math.AG2020★ 8 cited
A Note on Super Koszul Complex and the Berezinian
Simone Noja, Riccardo Re
We construct the super Koszul complex of a free supercommutative -module of rank and prove that its homology is concentrated in a single degree and it yields an exact…
math.AG2020
The Universal de Rham/Spencer Double Complex on a Supermanifold
Sergio L. Cacciatori, Simone Noja, Riccardo Re
The universal Spencer and de Rham complexes of sheaves over a smooth or analytical manifold are well known to play a basic role in the theory of -modules. In this arti…