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.
A Green's function for θ-incomplete polynomials
Let K be any subset of . We define a pluricomplex Green’s function for θ-incomplete polynomials. We establish properties of analogous to those of the weighted pluricomplex Green’s function. When K is a regular compact subset of , we show that every continuous function that can be approximated uniformly on K by θ-incomplete polynomials, must vanish on . We prove a version of Siciak’s theorem and a comparison theorem for θ-incomplete polynomials. We compute when K is a compact section.
A Grothendieck-Riemann-Roch Formula for Maps of Complex Manifolds.
A Hartogs type extension theorem for generalized (N,k)-crosses with pluripolar singularities
The aim of this paper is to present an extension theorem for (N,k)-crosses with pluripolar singularities.
A Hilbert Lemniscate Theorem in
For a regular, compact, polynomially convex circled set in , we construct a sequence of pairs of homogeneous polynomials in two variables with
A Hirzebruch-Riemann-Roch formula for analytic spaces and non-projective algebraic varieties
A Holomorphic Characterization of Jordan C*-Algebras.
A holomorphic representation formula for parabolic hyperspheres
A holomorphic representation formula for special parabolic hyperspheres is given.
A homological criterion for reducibility of analytic spaces, with application to characterizing the theta divisor of a product of two general principally polarized abelian varieties.
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 KAM phenomenon for singular holomorphic vector fields
Let X be a germ of holomorphic vector field at the origin of Cn and vanishing there. We assume that X is a good perturbation of a “nondegenerate” singular completely integrable system. The latter is associated to a family of linear diagonal vector fields which is assumed to have nontrivial polynomial first integrals (they are generated by the so called “resonant monomials”). We show that X admits many invariant analytic subsets in a neighborhood of the origin. These are biholomorphic to the intersection...
A Kummer-type construction of self-dual 4-manifolds.