We treat the boundary problem for complex varieties with isolated singularities, of complex dimension greater than or equal to 3, non necessarily compact, which are contained in strongly convex, open subsets of a complex Hilbert space H. We deal with the problem by cutting with a family of complex hyperplanes and applying the already known result for the compact case.

Non compact boundaries of complex analytic varieties in Hilbert spaces

MONGODI, SAMUELE;SARACCO, ALBERTO
2014-01-01

Abstract

We treat the boundary problem for complex varieties with isolated singularities, of complex dimension greater than or equal to 3, non necessarily compact, which are contained in strongly convex, open subsets of a complex Hilbert space H. We deal with the problem by cutting with a family of complex hyperplanes and applying the already known result for the compact case.
2014
Boundary problem; convexity; maximally complex submanifold; complex Hilbert spaces; CR-geometry
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1010752
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