Drinfeld modular curve and Weil pairing
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
In this paper we describe the compactification of the Drinfeld modular curve. This compactification is analogous to the compactification of the classical modular curve given by Katz and Mazur. We show how the Weil pairing on Drinfeld modules that we defined in earlier work gives rise to a map on the Drinfeld modular curve. We introduce the Tate-Drinfeld module and show how this describes the formal neighbourhood of the scheme of cusps of the Drinfeld modular curve.
Keywords
Cite
@article{arxiv.math/0411490,
title = {Drinfeld modular curve and Weil pairing},
author = {G. J. van der Heiden},
journal= {arXiv preprint arXiv:math/0411490},
year = {2007}
}