3 papers
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…
math.AG2023
The embedding theorem in Hurwitz-Brill-Noether Theory
Kaelin Cook-Powell, David Jensen, Eric Larson +2
We generalize the Embedding Theorem of Eisenbud-Harris from classical Brill-Noether theory to the setting of Hurwitz-Brill-Noether theory. More precisely, in classical Brill-Noethe…
math.AG2022
Interpolation for Brill--Noether curves
Eric Larson, Isabel Vogt
In this paper we determine the number of general points through which a Brill--Noether curve of fixed degree and genus in any projective space can be passed.