Q. Gendron

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20202025

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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.AG2020

Équation de Pell-Abel et applications

Quentin Gendron

In this paper, we show that there are solutions of every degree $r$ of the equation of Pell-Abel on some real hyperelliptic curve of genus $g$ if and only if $r > g$ . This result,…

math.AG2020

On the locus of genus $3$ curves that admit meromorphic differentials with a zero of order $6$ and a pole of order $2$

Abel Castorena, Quentin Gendron

The main goal of this article is to compute the class of the divisor of $M_{3}$ obtained by taking the closure of the image of $Ω M_{3} (6; - 2)$ by the forg…

Finite isoresidual covers in strata of k-differentials

Équation de Pell-Abel et applications

On the locus of genus 3 curves that admit meromorphic differentials with a zero of order 6 and a pole of order 2

Finite isoresidual covers in strata of $k$ -differentials

On the locus of genus $3$ curves that admit meromorphic differentials with a zero of order $6$ and a pole of order $2$