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math.CA2021
A remark on first integrals of vector fields
André Belotto da Silva, Martin Klimes, Julio C. Rebelo +1
We provide examples of vector fields on admitting a formal first integral but no holomorphic first integral. These examples are related to a question raised by…
math.DS2021★ 4 cited
Dynamics of groups of automorphisms of character varieties and Fatou/Julia decomposition for Painlevé 6
Julio Rebelo, Roland Roeder
We study the dynamics of the group of holomorphic automorphisms of the affine cubic surfaces \begin{align*} S_{A,B,C,D} = \{(x,y,z) \in \mathbb{C}^3 \, : \, x^2 + y^2 + z^2 +xyz =…