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arXiv · 0806.1702

Gauss-Manin connection and t-adic geometry

Johannes Nicaise
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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.

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Johannes Nicaise. 2008-06-10. Gauss-Manin connection and t-adic geometry. https://arxiv.org/abs/0806.1702

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