1 citations · 1 across the 5 of their papers we have counts for
6 papers
Likely and unlikely ramification of algebraic points on curves
Bianca Viray, Isabel Vogt
This paper initiates the study of arithmetic properties of closed points of arbitrary degree on curves. We show that a pointless curve of rank can have only finitely many cycli…
Recent advances in Brill--Noether theory and the geometry of Brill--Noether curves
Isabel Vogt
The first goal of this article is to survey recent progress in Brill--Noether theory, including both the study of the moduli space of maps from a curve to projective space and the…
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…
Isolated and parameterized points on curves
Bianca Viray, Isabel Vogt
We give a self-contained introduction to isolated points on curves and their counterpoint, parameterized points, that situates these concepts within the study of the arithmetic of…
Conic bundle threefolds differing by a constant Brauer class and connections to rationality
Sarah Frei, Lena Ji, Soumya Sankar +2
A double cover of ramified over a general -divisor will have the structure of a geometrically standard conic bundle ramified over a sm…
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…