Hannah Larson

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20142024

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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 $C$ on a Hirzebruch surface of fixed class. It is natural to study the line…

math.AG2024

The Chow ring of the universal Picard stack over the hyperelliptic locus

Hannah Larson

Let $J_{g}^{d} \to M_{g}$ be the universal Picard stack parametrizing degree $d$ line bundles on genus $g$ curves, and let $J_{2, g}^{d}$ be its restriction to…

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

The rational Chow rings of moduli spaces of hyperelliptic curves with marked points

Samir Canning, Hannah Larson

We determine the rational Chow ring of the moduli space $H_{g, n}$ of $n$ -pointed smooth hyperelliptic curves of genus $g$ when $n \leq 2 g + 6$ . We also show that the Chow r…