Abelian varieties with real multiplication: classification and isogeny classes over finite fields

Tejasi Bhatnagar; Yu Fu

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arXiv · 2308.11105

Abelian varieties with real multiplication: classification and isogeny classes over finite fields

Tejasi Bhatnagar·Yu Fu

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Abstract

In this paper, we provide a classification of certain points on Hilbert modular varieties over finite fields under a mild assumption on Newton polygon. Furthermore, we use this characterization to prove estimates for the size of isogeny classes.

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Tejasi Bhatnagar, Yu Fu. 2023-08-22. Abelian varieties with real multiplication: classification and isogeny classes over finite fields. https://arxiv.org/abs/2308.11105

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