Gauss-Manin connection and t-adic geometry
Algebraic Geometry
2008-06-11 v1
Abstract
We show that the de Rham cohomology of any separated and smooth rigid variety over a field of Laurent series of characteristic zero carries a natural formal meromorphic connection, which we call the Gauss-Manin connection. We compare it with the Gauss-Manin connection of a proper and smooth variety over a curve, and with the Gauss-Manin connection of the Milnor fibration at an isolated complex hypersurface singularity.
Cite
@article{arxiv.0806.1702,
title = {Gauss-Manin connection and t-adic geometry},
author = {Johannes Nicaise},
journal= {arXiv preprint arXiv:0806.1702},
year = {2008}
}
Comments
11 pages