Frobenius constants for families of elliptic curves

Bidisha Roy; Masha Vlasenko

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arXiv · 2206.15181

Frobenius constants for families of elliptic curves

Bidisha Roy·Masha Vlasenko

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Abstract

The paper deals with a class of periods, Frobenius constants, which describe monodromy of Frobenius solutions of differential equations arising in algebraic geometry. We represent Frobenius constants related to families of elliptic curves as iterated integrals of modular forms. Using the theory of periods of modular forms, we then witness some of these constants in terms of zeta values.

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Bidisha Roy, Masha Vlasenko. 2022-06-30. Frobenius constants for families of elliptic curves. https://arxiv.org/abs/2206.15181

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