3 papers
math.AG2026
Moduli spaces of curves with polynomial point counts
Samir Canning, Hannah Larson, Sam Payne +1
We prove that the number of curves of a fixed genus g over finite fields is a polynomial function of the size of the field if and only if g is at most 8. Furthermore, we determine…
math.AG2025
FA-modules of holomorphic forms on
Samir Canning, Hannah Larson, Sam Payne +1
For fixed genus g and varying finite marking set A, the gluing and forgetful maps give the spaces of holomorphic forms on the moduli space of stable A-marked curves of genus g has…
math.AG2025
Chow Rings of Hurwitz Spaces with Marked Ramification
Emily Clader, Zhengning Hu, Hannah Larson +2
The Hurwitz space is a compactification of the space of smooth genus- curves with a simply-branched degree- map to . In this pape…