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.

Mongodi, S., Saracco, A. (2014). Non compact boundaries of complex analytic varieties in Hilbert spaces. COMPLEX MANIFOLDS, 1(1), 34-44 [10.2478/coma-2014-0002].

Non compact boundaries of complex analytic varieties in Hilbert spaces

MONGODI, SAMUELE;
2014

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.
Articolo in rivista - Articolo scientifico
Boundary problem; Complex Hilbert spaces; Convexity; CRgeometry; Maximally complex submanifold;
English
2014
1
1
34
44
reserved
Mongodi, S., Saracco, A. (2014). Non compact boundaries of complex analytic varieties in Hilbert spaces. COMPLEX MANIFOLDS, 1(1), 34-44 [10.2478/coma-2014-0002].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/349830
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