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arXiv · 2303.04324

Heights and singular moduli of Drinfeld modules

Zhenlin Ran
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Abstract

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

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Zhenlin Ran. 2023-03-08. Heights and singular moduli of Drinfeld modules. https://arxiv.org/abs/2303.04324

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