Heights and singular moduli of Drinfeld modules

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Bibliographische Detailangaben
1. Verfasser:	Ran, Zhenlin
Format:	Preprint
Veröffentlicht:	2023
Schlagworte:	Number Theory
Online-Zugang:	Acceder al recurso
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_version_	1866913187953115136
author	Ran, Zhenlin
author_facet	Ran, Zhenlin
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2303_04324
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	Heights and singular moduli of Drinfeld modules Ran, Zhenlin Number Theory 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.
title	Heights and singular moduli of Drinfeld modules
topic	Number Theory
url	https://arxiv.org/abs/2303.04324

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