4 papers
Counterexamples to a Conjecture of Ahmadi and Shparlinski
Taylor Dupuy, Kiran Kedlaya, David Roe +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 p…
Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB
Taylor Dupuy, Kiran Kedlaya, David Roe +1
This document is intended to summarize the theory and methods behind fq_isog collection inside the ab_var database in the LMFDB as well as some observations gleaned from these data…
A characterization of the U(Omega,m) sets of a hyperelliptic curve as Omega and m vary
Christelle Vincent
In this article we consider a certain distinguished set that can be attached to a marked hyperelliptic curve of genus equipped wit…
A robust implementation for solving the -unit equation and several applications
Alejandra Alvarado, Angelos Koutsianas, Beth Malmskog +3
Let be a number field, and a finite set of places in containing all infinite places. We present an implementation for solving the -unit equation , $x,y \i…