Euler sequence and Koszul complex of a module

Björn Andreas Mathematisches Institut, Freie Universität Berlin Darío Sánchez Gómez Departamento de Matemáticas and Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM), Universidad de Salamanca Fernando Sancho de Salas Departamento de Matemáticas and Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM), Universidad de Salamanca

K-Theory and Homology mathscidoc:1701.01013

Arkiv for Matematik, 1-21, 2016.1
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 $p$ -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.
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@inproceedings{björn2016euler,
  title={Euler sequence and Koszul complex of a module},
  author={Björn Andreas, Darío Sánchez Gómez, and Fernando Sancho de Salas},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203407990695825},
  booktitle={Arkiv for Matematik},
  pages={1-21},
  year={2016},
}
Björn Andreas, Darío Sánchez Gómez, and Fernando Sancho de Salas. Euler sequence and Koszul complex of a module. 2016. In Arkiv for Matematik. pp.1-21. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203407990695825.
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