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math.DG2025
The dimension of harmonic currents on foliated complex surfaces
Bertrand Deroin, Christophe Dupont, Victor Kleptsyn
Let be a singular holomorphic foliation on an algebraic complex surface , with hyperbolic singularities and no foliated cycle. We prove a formula for the transvers…
math.DG2021★ 6 cited
Foliated affine and projective structures
Bertrand Deroin, Adolfo Guillot
We formalize the concepts of holomorphic affine and projective structures along the leaves of holomorphic foliations by curves on complex manifolds. We show that many foliations ad…
math.DG2013
Dominating surface group representations by Fuchsian ones
Bertrand Deroin, Nicolas Tholozan
We prove that a representation from the fundamental group of a closed surface of negative Euler characteristic with values in the isometry group of a Riemannian manifold of section…