Thierry Combot

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20112025

most citedA note on algebraic potentials and Morales-Ramis theory

27 citations · 62 across the 20 of their papers we have counts for

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math.AG2023

Hyperelliptic Integrals to Elliptic Integrals

Thierry Combot

Consider a hyperelliptic integral $I = \int P / (Q S) d x$ , $P, Q, S \in K [x]$ , with $[K : Q] < \infty$ . When $S$ is of degree $\leq 4$ , such integral can be ca…

math.AG2021

Elementary Integration of Superelliptic Integrals

Thierry Combot

Consider a superelliptic integral $I = \int P / (Q S^{1/ k}) d x$ with $K = Q (ξ)$ , $ξ$ a primitive $k$ th root of unity, $P, Q, S \in K [x]$ and $S$ has simple roots a…