1 citations · 2 across the 8 of their papers we have counts for
8 papers
Resolutions of differential operators of low order for an isolated hypersurface singularity
Rachel N. Diethorn, Jack Jeffries, Claudia Miller +4
In this paper we develop a new approach for studying differential operators of an isolated singularity graded hypersurface ring defining a surface in affine three-space over a…
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…
Hartogs' extension theorems on Stein spaces
Nils Ovrelid, Sophia Vassiliadou
We discuss various known generalizations of the classical Hartogs' extension theorem on Stein spaces with arbitrary singularities and present an analytic proof based on d-bar metho…
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…