53 citations · 60 across the 9 of their papers we have counts for
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math.DS2018
On singular real analytic Levi-flat foliations
Arturo Fernández-Pérez, Rogério Mol, Rudy Rosas
A singular real analytic foliation of real codimension one on an -dimensional complex manifold is Levi-flat if each of its leaves is foliated by immersed compl…
math.CV2018
Lehmann-Suwa residues of codimension one holomorphic foliations and applications
Arturo Fernández-Pérez, Jimmy Támara
Let be a singular codimension one holomorphic foliation on a compact complex manifold of dimension at least three such that its singular set has codimension at le…
math.CV2018
Brunella-Khanedani-Suwa variational residues for invariant currents
Mauricio Corrêa, Arturo Fernández-Pérez, Marcio G. Soares
In this work we prove a Brunella-Khanedani-Suwa variational type residue theorem for currents invariant by holomorphic foliations. As a consequence, we give conditions for the leav…