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math.NT2025
Density of algebraic points on products of curves
Jennifer Berg, Yu Fu, Evangelia Gazaki +3
In this paper, we initiate the systematic study of density of algebraic points on surfaces. We give an effective asymptotic range in which the density degree set has regular behavi…
math.NT2024
Codes with Hierarchical Locality on Artin-Schreier Surfaces
Jennifer Berg, Beth Malmskog, Mckenzie West
In this article, we construct codes with hierarchical locality using natural geometric structures in Artin-Schreier surfaces of the form . Our main theorem describes…
math.NT2023
Brauer-Manin obstructions requiring arbitrarily many Brauer classes
Jennifer Berg, Carlo Pagano, Bjorn Poonen +4
On a projective variety defined over a global field, any Brauer--Manin obstruction to the existence of rational points is captured by a finite subgroup of the Brauer group. We show…