3 citations · 4 across the 6 of their papers we have counts for
6 papers
L2-Properties of the dbar and the dbar-Neumann operator on spaces with isolated singularities
Nils Øvrelid, Jean Ruppenthal
Let X be a Hermitian complex space of pure dimension with only isolated singularities and p: M -> X a resolution of singularities. Let D be a relatively compact domain in X with no…
L2 d-bar cohomology groups of some singular complex spaces
Nils Ovrelid, Sophia Vassiliadou
Let X be a pure n-dimensional (n>1) complex analytic set in C^N with an isolated singularity at 0. In this paper we express the L2-(0,q)-d-bar-cohomology groups for all q with 0<q<…
Semiglobal results for d-bar on complex spaces with arbitrary singularities, Part II
Nils Ovrelid, Sophia Vassiliadou
We obtain some L2 results for d-bar on forms that vanish to high order on the singular set of a complex space. As a consequence of our main theorem we obtain weighted L2-solvabilit…
Some L2 results for d-bar on projective varieties with general singularities
Nils Ovrelid, Sophia Vassiliadou
Let X be an irreducible n-dimensional projective variety in CP^N with arbitrary singular locus. We prove that the L2-(p,1)-d-bar cohomology groups (with respect to the Fubini-Study…
Local results for : The isolated singularities case
John Erik Fornaess, Nils Ovrelid, Sophia Vassiliadou
Let be a pure n-dimensional complex analytic set in with an isolated singularity at 0. We study the Cauchy-Riemann operator on a deleted neighborhood of the sing…
Semiglobal results for on a complex space with arbitrary singularities
John Erik Fornaess, Nils Ovrelid, Sophia Vassiliadou
We obtain some results for the Cauchy-Riemann operator on forms that vanish to high order near the singular set of a complex space.