4 papers
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…
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…
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…
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…