Qixiao Ma

collaborators

3 papers

math.AG2026

Torsors under the universal Jacobian over $M_{g}$

Qixiao Ma

We consider the universal family of smooth genus- $g$ curves over $C$ . We show that for $g \geq 4$ , every torsor under the relative Jacobian is isomorphic to a connected comp…

math.AG2026

Bounding the number of graph refinements for Brill-Noether existence

Karl Christ, Qixiao Ma

Let $G$ be a finite graph of genus $g$ . Let $d$ and $r$ be non-negative integers such that the Brill-Noether number is non-negative. It is known that for some $k$ sufficiently larg…

math.AG2024

Torsors of the Jacobians of the universal Fermat curves

Qixiao Ma

Let $m \geq 3$ be an integer. We show that every torsor of the Jacobian of the universal family of degree- $m$ Fermat curve is necessarily a connected component of the Picard scheme.…

Torsors under the universal Jacobian over Mg​

Bounding the number of graph refinements for Brill-Noether existence

Torsors of the Jacobians of the universal Fermat curves

Torsors under the universal Jacobian over $M_{g}$