21 citations · 89 across the 25 of their papers we have counts for
5 papers · 1 filter
Parabolicity of the regular locus of complex varieties
Jean Ruppenthal
The purpose of this note is to show that the regular locus of a complex variety is locally parabolic at the singular set. This yields that the regular locus of a compact complex va…
-Serre duality on singular complex spaces and applications
Jean Ruppenthal
In this survey, we explain a version of topological -Serre duality for singular complex spaces with arbitrary singularities. This duality can be used to deduce various -v…
Koppelman formulas on the A_1-singularity
Richard Lärkäng, Jean Ruppenthal
In the present paper, we study the regularity of the Andersson-Samuelsson Koppelman integral operator on the -singularity. Particularly, we prove - and -estimates. A…
Explicit Serre duality on complex spaces
Jean Ruppenthal, Håkan Samuelsson Kalm, Elizabeth Wulcan
In this paper we use recently developed calculus of residue currents together with integral formulas to give a new explicit analytic realization, as well as a new analytic proof of…
-Serre duality on singular complex spaces and rational singularities
Jean Ruppenthal
In the present paper, we devise a version of topological -Serre duality for singular complex spaces with arbitrary singularities. This duality is used to deduce various new $L…