Drinfeld modular curve and Weil pairing

Details Drinfeld modular curve and Weil pairing Drinfeld modular curve and Weil pairing

2004-11-22

arxiv.org/abs/math/0411490v1

Mathematics

Number Theory

Scientific paper

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.

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