On Koszul complex of a supermodule
Algebraic Geometry
2024-01-29 v1
Abstract
This paper is devoted to an exposition of the Koszul complex of a supermodule and its Berezinian from an intrinsic and as general as possible point of view. As an application, an analogue to Bott's formula in the supercommutative setting computing the cohomology of twisted differential p-forms sheaves on the projective superspaces is given.
Cite
@article{arxiv.2401.14790,
title = {On Koszul complex of a supermodule},
author = {Darío Sánchez Gómez and Fernando Sancho de Salas},
journal= {arXiv preprint arXiv:2401.14790},
year = {2024}
}