A generalization of Jacobi's derivative formula to dimension two.
A Generalization of Kodaira-Ramanujam's Vanishing Theorem.
A Generalization of Kodaira's Embedding Theorem.
A generalization of Pick's theorem and its applications to intrinsic metrics
A generalization of Radó's theorem
If Σ is a compact subset of a domain Ω ⊂ ℂ and the cluster values on ∂Σ of a holomorphic function f in Ω∖Σ, f' ≢ 0, are contained in a compact null-set for the holomorphic Dirichlet class, then f extends holomorphically onto the whole domain Ω.
A Generalization of Schwarz Lemma.
A generalization of the Malgrange-Zerner theorem
A Generalization of the Milnor Number.
A generalized area integral estimate and applications
A generalized Bloch' s theorem and the hyperbolicity of the complement of an ample divisor in an Abelian variety.
A generalized complex Hopf Lemma and its applications to CR mappings.
A Geometric Algebraicity Property for Moduli Spaces of Compact Kähler Manifolds with h 2, 0 = 1.
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 geometric embedding for standard analytic modules.
A Geometric Study of the Monodromy of Complex Analytic Surfaces.
A Geometrie Approach to Keller's Jacobian Conjecture.
A Geometrie Characterization of the Ball and the Bochner-Martinelli Kernel.
A Geometry of Kähler Cones.
A geometry on the space of probabilities (II). Projective spaces and exponential families.
In this note we continue a theme taken up in part I, see [Gzyl and Recht: The geometry on the class of probabilities (I). The finite dimensional case. Rev. Mat. Iberoamericana 22 (2006), 545-558], namely to provide a geometric interpretation of exponential families as end points of geodesics of a non-metric connection in a function space. For that we characterize the space of probability densities as a projective space in the class of strictly positive functions, and these will be regarded as a...
A global invariant for three dimensional CR-manifolds.