3 papers
math.AG2024
Complex Bott Periodicity in algebraic geometry
Hannah Larson, Ravi Vakil
We state and prove a form of Bott periodicity (for ) in an algebraic setting (so, ) which makes sense over , which also specializes to Bott periodicity in…
math.AG2024
Brill--Noether theory of smooth curves in the plane and on Hirzebruch surfaces
Hannah Larson, Sameera Vemulapalli
In this paper, we describe the Brill--Noether theory of a general smooth plane curve and a general curve on a Hirzebruch surface of fixed class. It is natural to study the line…
math.AG2023
Maximal Brill--Noether loci via the gonality stratification
Asher Auel, Richard Haburcak, Hannah Larson
We study the restriction of Brill-Noether loci to the gonality stratification of the moduli space of curves of fixed genus. As an application, we give new proofs that Brill-Noether…