A note on complex projective threefolds admitting holomorphic contact structures.
A note on composition operators on spaces of real analytic functions
We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map φ such that the associated composition operator is not open onto its image.
A note on Costara's paper
We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
A note on fields of definition
A note on geodesics in infinite-dimensional Teichmüller spaces.
A note on geometric means of entire functions of two complex variables
A note on Liouville analytic spaces
A note on M. Soares’ bounds
We give an intersection theoretic proof of M. Soares’ bounds for the Poincaré-Hopf index of an isolated singularity of a foliation of .
A note on matrix transformations of holomorphic Dirichlet series.
A note on pluripolar extensions of univalent functions.
A note on projective Levi flats and minimal sets of algebraic foliations
In this paper we prove that holomorphic codimension one singular foliations on have no non trivial minimal sets. We prove also that for , there is no real analytic Levi flat hypersurface in .
A note on Rosay's paper
We give a simplified proof of J. P. Rosay's result on plurisubharmonicity of the envelope of the Poisson functional [10].
A note on singularities at infinity of complex polynomials
Let f be a complex polynomial. We relate the behaviour of f “at infinity” to the sheaf of vanishing cycles of the family of projective closures of fibres of f. We show that the absence of such cycles: (i) is equivalent to a condition on the asymptotic behaviour of gradient of f known as Malgrange’s Condition, (ii) implies the -triviality of f. If the support of sheaf of vanishing cycles of is a finite set, then it detects precisely the change of the topology of the fibres of f. Moreover, in...
A note on the Cauchy-Bochner formula for a class of Beurling ultradistributions
A note on the discriminant of a space curve.
A note on the extension of analytic functions off real analytic subsets.
Let X be a closed analytic subset of an open subset Omega of Rn. We look at the problem of extending functions from X to Omega.
A note on the holomorphic invariants of Tian-Zhu.
A note on the Hörmander, Donnelly-Fefferman, and Berndtsson L²-estimates for the ∂̅-operator
We give upper and lower bounds for constants appearing in the L²-estimates for the ∂̅-operator due to Donnelly-Fefferman and Berndtsson.
A Note on the kernel of the ...-Neumann operator on strongly pseudoconvex domains.
A note on the Kobayashi pseudodistance and the tautness of holomorphic fiber bundles
We show a relation between the Kobayashi pseudodistance of a holomorphic fiber bundle and the Kobayashi pseudodistance of its base. Moreover, we prove that a holomorphic fiber bundle is taut iff both the fiber and the base are taut.