2 2 N ov 2 00 4 DRINFELD MODULAR CURVE AND WEIL PAIRING

نویسنده

  • GERT - JAN VAN DER HEIDEN
چکیده

In this paper we describe the compactification of the Drin-feld modular curve. This compactification is analogous to the compact-ification 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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تاریخ انتشار 2004