# Non compact boundaries of complex analytic varieties in Hilbert spaces

Samuele Mongodi; Alberto Saracco

Complex Manifolds (2014)

- Volume: 1, Issue: 1, page 34-44, electronic only
- ISSN: 2300-7443

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topSamuele Mongodi, and Alberto Saracco. "Non compact boundaries of complex analytic varieties in Hilbert spaces." Complex Manifolds 1.1 (2014): 34-44, electronic only. <http://eudml.org/doc/276957>.

@article{SamueleMongodi2014,

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.},

author = {Samuele Mongodi, Alberto Saracco},

journal = {Complex Manifolds},

keywords = {Boundary problem; convexity; maximally complex submanifold; complex Hilbert spaces; CRgeometry; boundary problem for complex manifolds; strongly convex subsets of Hilbert spaces},

language = {eng},

number = {1},

pages = {34-44, electronic only},

title = {Non compact boundaries of complex analytic varieties in Hilbert spaces},

url = {http://eudml.org/doc/276957},

volume = {1},

year = {2014},

}

TY - JOUR

AU - Samuele Mongodi

AU - Alberto Saracco

TI - Non compact boundaries of complex analytic varieties in Hilbert spaces

JO - Complex Manifolds

PY - 2014

VL - 1

IS - 1

SP - 34

EP - 44, electronic only

AB - 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.

LA - eng

KW - Boundary problem; convexity; maximally complex submanifold; complex Hilbert spaces; CRgeometry; boundary problem for complex manifolds; strongly convex subsets of Hilbert spaces

UR - http://eudml.org/doc/276957

ER -

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