English

Heights and singular moduli of Drinfeld modules

Number Theory 2024-01-09 v2

Abstract

Let qq be an odd number and q>5q>5, and Fq\mathbb{F}_q be a finite field of qq elements. We prove that at most finitely many singular moduli of rank 2 Fq[t]\mathbb{F}_q[t]-Drinfeld modules are algebraic units. In particular, we develop some techniques of heights of Drinfeld modules to approach it.

Keywords

Cite

@article{arxiv.2303.04324,
  title  = {Heights and singular moduli of Drinfeld modules},
  author = {Zhenlin Ran},
  journal= {arXiv preprint arXiv:2303.04324},
  year   = {2024}
}

Comments

24 pages

R2 v1 2026-06-28T09:06:43.471Z