A Barth-Type Theorem for Branched Coverings of Projective Space.
A boundary rigidity problem for holomorphic mappings.
A Characterization of Complex Manifolds Biholomorphic to a Circular Domain.
A characterization of proper regular mappings
Let X, Y be complex affine varieties and f:X → Y a regular mapping. We prove that if dim X ≥ 2 and f is closed in the Zariski topology then f is proper in the classical topology.
A characterization of the complex affine line.
A class of functions containing polyharmonic functions in ℝⁿ
Some properties of the functions of the form in ℝⁿ, n ≥ 2, where each is a harmonic function defined outside a compact set, are obtained using the harmonic measures.
A domain in Cm not containing any proper image of the unit disc.
A generalized Bloch' s theorem and the hyperbolicity of the complement of an ample divisor in an Abelian variety.
A geometric approach to the Jacobian Conjecture in ℂ²
We consider polynomial mappings (f,g) of ℂ² with constant nontrivial jacobian. Using the Riemann-Hurwitz relation we prove among other things the following: If g - c (resp. f - c) has at most two branches at infinity for infinitely many numbers c or if f (resp. g) is proper on the level set (resp. ), then (f,g) is bijective.
A Geometrie Approach to Keller's Jacobian Conjecture.
A hypersurface defect relation for a family of meromorphic maps on a generalized p-parabolic manifold
This paper establishes a hypersurface defect relation, that is, , for a family of meromorphic maps from a generalized p-parabolic manifold M to the projective space ℙⁿ, under some weak non-degeneracy assumptions.
A non-degeneracy property of extremal mappings and iterates of holomorphic self-mappings
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 notion of extremal analytic discs related to interpolation in the ball.
A p-adic Nevanlinna-Diophantine correspondence
A precise result on the boundary regularity of biholomorphic mappings (Erratum).
A Precise Result on the Boundary Regularity of Biholomorphic Mappings.
A pseudoconcave generalization of Grauert's direct image theorem : I
A pseudoconcave generalization of Grauert's direct image theorem : II
A Reflection Principle for Proper Holomorphic Mappings and Geometric Invariants.