Qixiao Ma

collaborators

2 papers

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.…

math.AG2023

Rational Points on Generic Marked Hypersurfaces

Qixiao Ma

Over fields of characteristic zero, we show that for $n = 1, d \geq 4$ or $n = 2, d \geq 5$ or $n \geq 3, d \geq 2 n$ , the generic $m$ -marked degree- $d$ hypersurface in $P^{n + 1}$ admits…