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Explicit Weil-pairing for Drinfeld Modules

2020/10/11 by Katen, Jeff
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2010.05283

Abstract

The goal of this article is to define an analogue of the Weil-pairing for Drinfeld modules using explicit formulas and to deduce its main properties from these formulas. Our result generalizes the formula currently known for rank 2 Drinfeld modules and works as a more explicit, elementary proof of the Weil-pairing's existence than the one appearing in the current literature.

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