Séminaire "Equations différentielles"
To a large extent the weight 3 motives attached to one-parameter families of Calabi-Yau threefolds can be studied from the associated Picard-Fuchs operator alone. I review how this can be used to find Calabi-Yau threefolds associated with modular forms and give examples with elliptic modular forms, Bianchi modular forms and Hilbert modular forms.
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Vasily Golyshev & Vladimir Roubtsov