The units-Picard complex of a reductive group scheme
Algebraic Geometry
2017-10-19 v1 Number Theory
Abstract
Let S be a locally noetherian regular scheme. We compute the units-Picard complex of a reductive S-group scheme G in terms of the dual algebraic fundamental complex of G. To do so, we establish a units-Picard-Brauer exact sequence for a torsor under a smooth S-group scheme.
Cite
@article{arxiv.1710.06510,
title = {The units-Picard complex of a reductive group scheme},
author = {Cristian D. Gonzalez-Aviles},
journal= {arXiv preprint arXiv:1710.06510},
year = {2017}
}
Comments
53 pages. In memory of Jost van Hamel