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math.DS2026
Global center of polynomial Newton system and its non-isochronicity
Colin Christopher, Jun Zhang, Weinian Zhang
Using a new compactification (toroidal compactification) and desingularization, we obtain a complete characterization of monodromy at infinity for polynomial Newton system of arbit…
math.DS2025
On elementary integrability of rational vector fields
Colin Christopher, Sebastian Walcher
We consider complex rational vector fields that admit a first integral whose logarithmic derivative lies in a finite extension of the rational function field . In view of the Pr…