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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Showing 2017 · math.DSShow all

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math.DS2017

Necessary and sufficient conditions for meromorphic integrability near a curve

Thierry Combot

Let us consider a vector field $X$ meromorphic on a neighbourhood of an algebraic curve $Γ ˉ \subset P^{n}$ such that $Γ$ is a particular solution of $X$ . The vector field…

math.DS2017★ 5 cited

Rational integrability of trigonometric polynomial potentials on the flat torus

Thierry Combot

We consider a lattice $L \subset R^{n}$ and a trigonometric potential $V$ with frequencies $k \in L$ . We then prove a strong integrability condition on $V$ ,…