May 4, 2024Open Access

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

Key Points

Key points are not available for this paper at this time.

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 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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Tejasi Bhatnagar (Sat,) studied this question.

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

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Essential dimension of isogenies2024
2On $μ$-invariants and isogenies for abelian varieties over function fields2024 · 1 citations
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

Bookmark

View Full Paper