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arXiv · 2405.02758

Size of isogeny classes of abelian varieties of Lubin-Tate type

Tejasi Bhatnagar
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Abstract

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 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. 2026-07-11. Size of isogeny classes of abelian varieties of Lubin-Tate type. https://arxiv.org/abs/2405.02758

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