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A note on the finiteness of certain cuspidal divisor class groups

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Abstract

We prove the finiteness of the subgroup of the Jacobian generated by the cusps of a Drinfeld modular curve. This is an analogue in positive characteristic of a classical result of Drinfeld and Manin about elliptic modular curves, and generalizes earlier work on special cases.

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Authors and Affiliations

  1. Fachbereich 9 Mathematik, Universität des Saarlandes, Postfach 15 11 50, D-66041, Saarbrücken, Germany

    Ernst-Ulrich Gekeler

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  1. Ernst-Ulrich Gekeler
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Correspondence to Ernst-Ulrich Gekeler.

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Gekeler, EU. A note on the finiteness of certain cuspidal divisor class groups. Isr. J. Math. 118, 357–368 (2000). https://doi.org/10.1007/BF02803527

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  • DOI: https://doi.org/10.1007/BF02803527

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