May 4, 2024Open Access

Size of isogeny classes of abelian varieties in the extended Lubin-Tate case

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Resumen

We prove a lower bound for the size of the isogeny class of a simple abelian variety over a finite field with commutative endomorphism ring in the extended Lubin-Tate case. Moreover, based on the expected size of the isogeny classes in the Newton stratum, we conjecture that this lower bound is sharp.

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Tejasi Bhatnagar (Sat,) studied this question.

synapsesocial.com/papers/68e6b92bb6db64358763a384 https://doi.org/https://doi.org/10.48550/arxiv.2405.02758

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3On a Galois property of fields generated by the torsion of an abelian variety2024 · 1 citations
4An analogue of a conjecture of Rasmussen and Tamagawa for abelian varieties over function fields2024
5Quantitative upper bounds related to an isogeny criterion for elliptic curves2024

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