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Linear independence on simple abelian varieties

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Abstract

In this paper, we establish new results on complex and p-adic linear independence on general simple abelian varieties defined over the field of algebraic numbers \(\overline{{\mathbb {Q}}}\). In particular, these results extend some previous results on that concerning elliptic curves and simple abelian varieties with complex multiplication defined over \(\overline{{\mathbb {Q}}}\).

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Acknowledgements

The author would like to thank the editor and the anonymous referee for careful reading of this manuscript and useful comments. This research is funded by Vietnam Foundation for Science and Technology (NAFOSTED) under grant number 101.04-2023.21.

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Authors and Affiliations

  1. University of Education, Vietnam National University, Hanoi, 144 Xuan Thuy, Cau Giay, Hanoi, Vietnam

    Duc Hiep Pham

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  1. Duc Hiep Pham
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Correspondence to Duc Hiep Pham.

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Dedicated to Professor Gisbert Wüstholz on the occasion of his 75th birthday.

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Pham, D.H. Linear independence on simple abelian varieties. Period Math Hung (2024). https://doi.org/10.1007/s10998-024-00573-6

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  • DOI: https://doi.org/10.1007/s10998-024-00573-6

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