Publications (11)
Descent and étale-Brauer obstructions for 0-cycles
Francesca Balestrieri, Jennifer Berg
For 0-cycles on a variety over a number field, we define an analogue of the classical descent set for rational points. This leads to, among other things, a definition of the étale…
Rational points on conic bundles over elliptic curves
Jennifer Berg, Masahiro Nakahara
We study rational points on conic bundles over elliptic curves with positive rank over a number field. We show that the etale Brauer-Manin obstruction is insufficient to explain fa…
Odd order obstructions to the Hasse principle on general K3 surfaces
Jennifer Berg, Anthony Várilly-Alvarado
We show that odd order transcendental elements of the Brauer group of a K3 surface can obstruct the Hasse principle. We exhibit a general K3 surface of degree 2 over $\mathbb{Q…
Replicable functions arising from code-lattice VOAs fixed by automorphisms
Lea Beneish, Jennifer Berg, Eva Goedhart +3
We ascertain properties of the algebraic structures in towers of codes, lattices, and vertex operator algebras (VOAs) by studying the associated subobjects fixed by lifts of code a…
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…
Vanishing of Quartic and Sextic Twists of -functions
Jennifer Berg, Nathan C. Ryan, Matthew P. Young
Let be an elliptic curve over . We conjecture asymptotic estimates for the number of vanishings of as varies over all primitive Dirichlet character…
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…
Insufficiency of the Brauer-Manin obstruction for Enriques surfaces
Francesca Balestrieri, Jennifer Berg, Michelle Manes +2
In 2011, Và rilly-Alvarado and the last author constructed an Enriques surface over with an étale-Brauer obstruction to the Hasse principle and no algebraic Braue…
Obstructions to integral points on affine Châtelet surfaces
Jennifer Berg
We consider the Brauer-Manin obstruction to the existence of integral points on affine surfaces defined by over a number field. We enumerate the possibilities f…
Rational points on symmetric squares of constant algebraic curves over function fields
Jennifer Berg, José Felipe Voloch
We consider smooth projective curves C/ over a finite field and their symmetric squares . For a global function field , we study the -rational…
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…