Heights and singular moduli of Drinfeld modules
Number Theory
2024-01-09 v2
Abstract
Let be an odd number and , and be a finite field of elements. We prove that at most finitely many singular moduli of rank 2 -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