Legendre Drinfeld modules and universal supersingular polynomials
Number Theory
2013-08-06 v1
Abstract
We introduce a certain family of Drinfeld modules that we propose as analogues of the Legendre normal form elliptic curves. We exhibit explicit formulas for a certain period of such Drinfeld modules as well as formulas for the supersingular locus in that family, establishing a connection between these two kinds of formulas. Lastly, we also provide a closed formula for the supersingular polynomial in the -invariant for generic Drinfeld modules.
Keywords
Cite
@article{arxiv.1308.0855,
title = {Legendre Drinfeld modules and universal supersingular polynomials},
author = {Ahmad El-Guindy},
journal= {arXiv preprint arXiv:1308.0855},
year = {2013}
}