4 citations · 12 across the 9 of their papers we have counts for
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math.DS2015
Holomorphic plane fields with many invariant hypersurfaces
L. Câmara, B. Scárdua
In this paper we show that a (non necessarily integrable) holomorphic plane field on a compact complex manfold having an infinite number of invariant hypersurfaces must admit a…
math.DS2014★ 4 cited
Closed Orbits and Integrability for singularities of complex vector fields in dimension three
Leonardo Câmara, Bruno Scardua
This paper is about the integrability of complex vector fields in dimension three in a neighborhood of a singular point. More precisely, we study the existence of holomorphic first…
math.DS2012★ 1 cited
Complex polynomial vector fields with many algebraic orbits
Leonardo Câmara, Bruno Scardua
We state some generalizations of a theorem due to G. Darboux, which originally states that a polynomial vector field in the complex plane exhibits a rational first integral and has…