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

2024/05/04 by Tejasi Bhatnagar, Bhatnagar, Tejasi
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2405.02758

openalex publication_date 2024/05/04 · openalex created_date 2024/05/08 · openalex updated_date 2026/07/28

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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