Rose Lopez

collaborators

3 papers

math.AG2026

The Brauer group of $B G$ and gerbe structures of moduli spaces

Rose Lopez

We study the $I^¼_{N}$ -gerbe of curves of genus $g$ with an order $N$ automorphism, and explore what corresponding $H^{2}$ -cohomology classes the components of this stack can have. In p…

math.AG2025

The Brauer Group of $Y_{0} (2)$

Niven Achenjang, Deewang Bhamidipati, Aashraya Jha +2

We determine the Brauer group of the Deligne-Mumford stack $Y_{0} (2)$ , the moduli space of elliptic curves with a marked $2$ -torsion subgroup over bases of arithmetic inter…

math.AG2025

Chow Rings of Hurwitz Spaces with Marked Ramification

Emily Clader, Zhengning Hu, Hannah Larson +2

The Hurwitz space $H_{k, g}$ is a compactification of the space of smooth genus- $g$ curves with a simply-branched degree- $k$ map to $P^{1}$ . In this pape…

The Brauer group of BG and gerbe structures of moduli spaces

The Brauer Group of Y0​(2)

Chow Rings of Hurwitz Spaces with Marked Ramification

The Brauer group of $B G$ and gerbe structures of moduli spaces

The Brauer Group of $Y_{0} (2)$