14 citations · 37 across the 19 of their papers we have counts for
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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…
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…
Higher Ramanujan equations and periods of abelian varieties
Tiago J. Fonseca
We describe higher dimensional generalizations of Ramanujan's classical differential relations satisfied by the Eisenstein series , , . Such "higher Ramanujan equati…
Higher Ramanujan equations II: periods of abelian varieties and transcendence questions
Tiago J. Fonseca
In the first part of this work, we have considered a moduli space classifying principally polarized abelian varieties of dimension endowed with a symplectic-Hodge basis,…
Higher Ramanujan equations I: moduli stacks of abelian varieties and higher Ramanujan vector fields
Tiago J. Fonseca
We describe a higher dimensional generalization of Ramanujan's differential equations satisfied by the Eisenstein series , , and . This will be obtained geometricall…