Euler Sequence and Koszul complex of a module
Algebraic Geometry
2016-08-24 v1 High Energy Physics - Theory
Abstract
We construct relative and global Euler sequences of a module. We apply it to prove some acyclicity results of the Koszul complex of a module and to compute the cohomology of the sheaves of (relative and absolute) differential -forms of a projective bundle. In particular we generalize Bott's formula for the projective space to a projective bundle over a scheme of characteristic zero.
Cite
@article{arxiv.1509.06897,
title = {Euler Sequence and Koszul complex of a module},
author = {Bjorn Andreas and Darío Sánchez Gómez and Fernando Sancho de Salas},
journal= {arXiv preprint arXiv:1509.06897},
year = {2016}
}