Q-curves over quadratic fields.
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Yuji Hasegawa (1997)
Manuscripta mathematica
Koh-ichi Nagao (1997)
Manuscripta mathematica
Hossein Movasati (2012)
Annales mathématiques Blaise Pascal
In the present text we give a geometric interpretation of quasi-modular forms using moduli of elliptic curves with marked elements in their de Rham cohomologies. In this way differential equations of modular and quasi-modular forms are interpreted as vector fields on such moduli spaces and they can be calculated from the Gauss-Manin connection of the corresponding universal family of elliptic curves. For the full modular group such a differential equation is calculated and it turns out to be the...
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