Thierry Combot

activity

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.DG2023

Symbolic integration on planar differential foliations

Thierry Combot

We consider the problem of symbolic integration of $\int G (x, y (x)) d x$ where $G$ is rational and $y (x)$ is a non algebraic solution of a differential equation $y^{'} (x) = F (x, y (x))$ wit…

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…