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Displaying similar documents to “Counterexample to boundary regularity of a strongly pseudoconvex CR submanifold: An addendum to the paper of Harvey-Lawson.”

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.

Trivial generators for nontrivial fibres

Linus Carlsson (2008)

Mathematica Bohemica

Similarity:

Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in n where the fibre is nontrivial, has to exceed n . This is shown not to be the case.