The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves
In: Alg. Number Th. 13 (2019) 2243-2275; (2017)
Online
report
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.
Comment: minor revisions on introduction, and on section 7 where the result is clarified
Titel: |
The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves
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Autor/in / Beteiligte Person: | Luo, Ma |
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Quelle: | Alg. Number Th. 13 (2019) 2243-2275; (2017) |
Veröffentlichung: | 2017 |
Medientyp: | report |
DOI: | 10.2140/ant.2019.13.2243 |
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