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arXiv · 1710.07691

The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves

Ma Luo
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Abstract

In this paper, we develop an algebraic de Rham theory for unipotent fundamental groups of once punctured elliptic curves over a field of characteristic zero using the universal elliptic KZB connection of Calaque-Enriquez-Etingof and Levin-Racinet. We use it to give an explicit version of Tannaka duality for unipotent connections over an elliptic curve with a regular singular point at the identity.

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Ma Luo. 2019-07-12. The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves. https://doi.org/10.2140/ant.2019.13.2243

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