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

Author: 

Luo, M

Journal: 

Algebra and Number Theory

Last Updated: 

2020-06-08T13:16:44.74+01:00

abstract: 

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 and Etingof (2009) and Levin and Racinet (2007). 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.

Symplectic id: 

1050128

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article