English

Explicit Weil-pairing for Drinfeld Modules

Number Theory 2020-10-13 v1

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.

Keywords

Cite

@article{arxiv.2010.05283,
  title  = {Explicit Weil-pairing for Drinfeld Modules},
  author = {Jeff Katen},
  journal= {arXiv preprint arXiv:2010.05283},
  year   = {2020}
}