Counterexamples to a Conjecture of Ahmadi and Shparlinski

Dupuy Taylor,Kedlaya Kiran,Roe David,Vincent Christelle

arXiv (Cornell University)（2020）

Cited 1|Views7

No score

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.

Translated text

Key words

Angle rank,abelian varieties,finite fields,arithmetic geometry

AI Read Science

Must-Reading Tree

Example

Generate MRT to find the research sequence of this paper

Chat Paper

Summary is being generated by the instructions you defined