MathDBAhmadi–Shparlinski's maximal angle rank conjecture for Jacobians
Ahmadi–Shparlinski's maximal angle rank conjecture for Jacobians
Let be an ordinary, geometrically simple Jacobian over a finite field. Its angle rank is the invariant referred to in the conjecture, and maximal angle rank means that this invariant takes its largest possible value.
Ahmadi–Shparlinski's conjecture. Every ordinary, geometrically simple Jacobian over a finite field has maximal angle rank.
The paper reports that this conjecture is false and gives two counterexamples in dimension .
Sources & referencesView supporting material
Primary source
Taylor Dupuy, Kiran Kedlaya, David Roe and Christelle Vincent, “Counterexamples to a Conjecture of Ahmadi and Shparlinski”, arXiv:2003.05368 (2020).
Additional references
2 papers in this index state this conjecture (2020). The statement above is taken from the most recent of them; the others are arXiv:2003.05380.
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