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math.NT2025
The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
Juanita Duque-Rosero, Christopher Keyes, Andrew Kobin +3
We characterize the integral Hasse principle for an infinite family of spherical stacky curves with genus that are defined using generalized Fermat equations, extend…
math.NT2024
Frobenius distributions of low dimensional abelian varieties over finite fields
Santiago Arango-Piñeros, Deewang Bhamidipati, Soumya Sankar
Given a -dimensional abelian variety over a finite field , the Weil conjectures imply that the normalized Frobenius eigenvalues generate a multiplicative group…
math.NT2024
On rational points on classifying stacks and Malle's conjecture
Shabnam Akhtari, Jennifer Park, Marta Pieropan +1
In this expository article, we compare Malle's conjecture on counting number fields of bounded discriminant with recent conjectures of Ellenberg--Satriano--Zureick-Brown and Darda-…