Counterexamples to a Conjecture of Ahmadi and Shparlinski
Number Theory
2020-03-12 v1 Algebraic Geometry
Abstract
Ahmadi-Shparlinski conjectured that every ordinary, geometrically simple Jacobian over a finite field has maximal angle rank. Using the L-Functions and Modular Forms Database, we provide two counterexamples to this conjecture in dimension 4.
Cite
@article{arxiv.2003.05368,
title = {Counterexamples to a Conjecture of Ahmadi and Shparlinski},
author = {Taylor Dupuy and Kiran Kedlaya and David Roe and Christelle Vincent},
journal= {arXiv preprint arXiv:2003.05368},
year = {2020}
}
Comments
6 pages