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math.AG2023
Elliptic KZB connections via universal vector extensions
Tiago J. Fonseca, Nils Matthes
Using the formalism of bar complexes and their relative versions, we give a new, purely algebraic, construction of the so-called universal elliptic KZB connection in arbitrary leve…
math.AG2022
A note on the Gauss-Manin connection for abelian schemes
Tiago J. Fonseca, Nils Matthes
We study differential forms on the universal vector extension of an abelian scheme in characteristic zero, and derive a new construction of the -group scheme st…