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.
@article{bwmeta1.element.doi-10_2478_coma-2014-0002,
author = {Samuele Mongodi and Alberto Saracco},
title = {Non compact boundaries of complex analytic varieties in Hilbert spaces},
journal = {Complex Manifolds},
volume = {1},
year = {2014},
zbl = {1320.32041},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_coma-2014-0002}
}
Samuele Mongodi; Alberto Saracco. Non compact boundaries of complex analytic varieties in Hilbert spaces. Complex Manifolds, Tome 1 (2014) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_coma-2014-0002/
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