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- W4376654386 abstract "We determine the relative monodromy group of abelian logarithms with respect to periods in the cases of fibered products of elliptic schemes. This gives rise to a result stronger than a theorem due to Y. Andr'e and implies in particular the algebraic independence of the logarithm of any non-torsion section and the periods. We then conjecture an analogous result for the general case of an abelian scheme of arbitrary relative dimension. This generalizes a theorem of Corvaja and Zannier which determines the said group in the case of a single elliptic scheme." @default.
- W4376654386 created "2023-05-17" @default.
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- W4376654386 date "2023-05-15" @default.
- W4376654386 modified "2023-09-29" @default.
- W4376654386 title "Monodromy of double elliptic logarithms" @default.
- W4376654386 doi "https://doi.org/10.48550/arxiv.2305.08748" @default.
- W4376654386 hasPublicationYear "2023" @default.
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