1 citations · 2 across the 8 of their papers we have counts for
12 papers
Almost holomorphic curves in real analytic hypersurfaces
Pierre Bonneau, Emmanuel Mazzilli
Using the theory of exterior differential systems, we study the existence of germ of pseudo-holomorphic disk in a real analytic hypersurface locally defined in a complex manifold e…
Complex associated to some systems of PDE
Pierre Bonneau, Emmanuel Mazzilli
In [WW1] and [WW2], the author constructed the complex associated to 1-regular functions. This complex is the equivalent of Dolbeault's complex for holomorphic functions if we repl…
Extension of holomorphic functions defined on singular complex hypersurfaces with growth estimates in strictly pseudoconvex domains of
William Alexandre, Emmanuel Mazzilli
Let be a strictly pseudoconvex domain and be a singular analytic set of pure dimension in such that and is transverse. We giv…
Applications of singular connections in symplectic and almost complex geometry
Emmanuel Mazzilli, Alexandre Sukhov
In this paper, we give two direct applications of the theory of singular connections developped by Harvey-Lawson [10]. The first one is a version of Lelong-Poincaré formula for vec…
Elementary construction of residue currents associated to Cohen-Macaulay ideals
Richard Lärkäng, Emmanuel Mazzilli
For a Cohen-Macaulay ideal of holomorphic functions, we construct by elementary means residue currents whose annihilator is precisely the given ideal. We give two proofs that the c…
Estimates for the Bohr radius of a Faber-Green condenser in the complex plane
Patrice Lassère, Emmanuel Mazzilli
We give some upper and lower estimates for the Bohr's radius of a Faber-Green condenser in the complex plane.