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arXiv:2003.05368 [math.NT]AbstractReferencesReviewsResources

Counterexamples to a Conjecture of Ahmadi and Shparlinski

Taylor Dupuy, Kiran Kedlaya, David Roe, Christelle Vincent

Published 2020-03-11Version 1

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.

Comments: 6 pages
Categories: math.NT, math.AG
Subjects: 11G10, 14K15
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