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math.CV2012
Stationary holomorphic discs and finite jet determination problems
Florian Bertrand, Léa Blanc-Centi
We construct a family of small analytic discs attached to Levi non-degenerate hypersurfaces in , which is globally biholomorphically invariant. We then apply this…
math.CV2007
Pseudoconvex regions of finite D'Angelo type in four dimensional almost complex manifolds
Florian Bertrand
Let D be a J-pseudoconvex region in a smooth almost complex manifold (M,J) of real dimension four. We construct a local peak J-plurisubharmonic function at every boundary point p o…
math.CV2005
Almost complex structures on the cotangent bundle
Florian Bertrand
We construct some lift of an almost complex structure to the cotangent bundle, using a connection on the base manifold. This generalizes the complete lift defined by I.Sato and the…