A note on a paper by Andreotti and Hill concerning the Hans Lewy problem
A note on Alexander's theorem.
A note on Banach algebras that are not isomorphic to a group algebra.
A note on Berezin-Toeplitz quantization of the Laplace operator
Given a Hodge manifold, it is introduced a self-adjoint operator on the space of endomorphisms of the global holomorphic sections of the polarization line bundle. Such operator is shown to approximate the Laplace operator on functions when composed with Berezin-Toeplitz quantization map and its adjoint, up to an error which tends to zero when taking higher powers of the polarization line bundle.
A note on Bézout's theorem
We present a version of Bézout's theorem basing on the intersection theory in complex analytic geometry. Some applications for products of surfaces and curves are also given.
A note on Bierstone-Milman-Pawłucki's paper "Composite differentiable functions"
We demonstrate that the composite function theorems of Bierstone-Milman-Pawłucki and of Glaeser carry over to any polynomially bounded, o-minimal structure which admits smooth cell decomposition. Moreover, the assumptions of the o-minimal versions can be considerably relaxed compared with the classical analytic ones.
A note on characterization of Moishezon spaces.
In this note a necessary and sufficient condition for a compact complex space X to be Moishezon is obtained; it can be seen as the existence of a line bundle L on X such that, for some point x ∈ X, the first cohomology groups of X with values respectively in L ⊗ mx and L ⊗ mx2, vanish. (Here mx denotes the ideal sheaf at x).
A Note on Coherent G-Sheaves.
A Note on Compactifications of C2 .
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 .