On the Deuring Polynomial for Drinfeld Modules in Legendre Form

Alp Bassa; Peter Beelen

On the Deuring Polynomial for Drinfeld Modules in Legendre Form

Number Theory 2018-11-02 v1 Algebraic Geometry

Authors: Alp Bassa , Peter Beelen

Abstract

We study a family $\psi^{\lambda}$ of $\mathbb F_q[T]$ -Drinfeld modules, which is a natural analog of Legendre elliptic curves. We then find a surprising recurrence giving the corresponding Deuring polynomial $H_{p(T)}(\lambda)$ characterising supersingular Legendre Drinfeld modules $\psi^{\lambda}$ in characteristic $p(T)$ .

Keywords

drinfeld modules ehrhart theory

Cite

@article{arxiv.1811.00084,
  title  = {On the Deuring Polynomial for Drinfeld Modules in Legendre Form},
  author = {Alp Bassa and Peter Beelen},
  journal= {arXiv preprint arXiv:1811.00084},
  year   = {2018}
}

Comments

This article supersedes arXiv:1110.6076

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