Q. Gendron

activity

20242026

collaborators

4 papers

math.AG2026

Isoresidual curves

Dawei Chen, Quentin Gendron, Miguel Prado +1

Given a partition $I^¼$ of $- 2$ , the stratum $H (I^¼)$ parametrizes meromorphic differential one-forms on the Riemann sphere $CP^{1}$ with~ $n$ zeros and $p$ poles o…

math.AG2025

Finite isoresidual covers in strata of $k$ -differentials

Dawei Chen, Quentin Gendron, Miguel Prado +1

Consider the strata of primitive $k$ -differentials on the Riemann sphere whose singularities, except for two, are poles of order divisible by $k$ . The map that assigns to each $k$ -…

math.CV2025

K-differentials with prescribed singularities

Quentin Gendron, Guillaume Tahar

We study the local invariants that a meromorphic $k$ -differential on a Riemann surface of genus $g \geq 0$ can have for $k \geq 3$ . These local invariants include the orders of zer…

math.AG2024

The moduli space of multi-scale differentials

Matt Bainbridge, Dawei Chen, Quentin Gendron +2

We construct a compactification of the moduli spaces of abelian differentials on Riemann surfaces with prescribed zeroes and poles. This compactification, called the moduli space o…

Isoresidual curves

Finite isoresidual covers in strata of k-differentials

K-differentials with prescribed singularities

The moduli space of multi-scale differentials

Finite isoresidual covers in strata of $k$ -differentials