Displaying similar documents to “Linking numbers and boundaries of varieties.”

On a class of ¯ -equations without solutions

Telemachos Hatziafratis (1998)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this note we construct ¯ -equations (inhomogeneous Cauchy-Riemann equations) without solutions. The construction involves Bochner-Martinelli type kernels and differentiation with respect to certain parameters in appropriate directions.

The ends of discs

Josip Globevnik, Edgar Lee Stout (1986)

Bulletin de la Société Mathématique de France

Similarity:

Regularity of varieties in strictly pseudoconvex domains.

Franc Forstneric (1988)

Publicacions Matemàtiques

Similarity:

We prove a theorem on the boundary regularity of a purely p-dimensional complex subvariety of a relatively compact, strictly pseudoconvex domain in a Stein manifold. Some applications describing the structure of the polynomial hull of closed curves in C are also given.

Holomorphic functions of fast growth on submanifolds of the domain

Piotr Jakóbczak (1998)

Annales Polonici Mathematici

Similarity:

We construct a function f holomorphic in a balanced domain D in N such that for every positive-dimensional subspace Π of N , and for every p with 1 ≤ p < ∞, f | Π D is not L p -integrable on Π ∩ D.

Holomorphic submersions from Stein manifolds

Franc Forstnerič (2004)

Annales de l’institut Fourier

Similarity:

We establish the homotopy classification of holomorphic submersions from Stein manifolds to Complex manifolds satisfying an analytic property introduced in the paper. The result is a holomorphic analogue of the Gromov--Phillips theorem on smooth submersions.