Patching over fields
Algebraic Geometry
2008-09-27 v3 Rings and Algebras
Abstract
We develop a new form of patching that is both far-reaching and more elementary than the previous versions that have been used in inverse Galois theory for function fields of curves. A key point of our approach is to work with fields and vector spaces, rather than rings and modules. After presenting a self-contained development of this form of patching, we obtain applications to other structures such as Brauer groups and differential modules.
Keywords
Cite
@article{arxiv.0710.1392,
title = {Patching over fields},
author = {David Harbater and Julia Hartmann},
journal= {arXiv preprint arXiv:0710.1392},
year = {2008}
}
Comments
37 pages; exposition improved and more detail given; Lemma 3.1 strengthened