21 citations · 89 across the 25 of their papers we have counts for
27 papers
Canonical sheaves at isolated canonical Gorenstein singularities
Jean Ruppenthal
It is well known that the Grauert-Riemenschneider canonical sheaf of holomorphic square-integrable -forms is a central tool in -theory for the $\overline\pa…
Dolbeault cohomology of complex nilmanifolds foliated in toroidal groups
Anna Fino, Sönke Rollenske, Jean Ruppenthal
It is conjectured that the Dolbeault cohomology of a complex nilmanifold is computed by left-invariant forms. We prove this under the assumption that is suitably foliated i…
Estimates for the -equation on canonical surfaces
Mats Andersson, Richard Lärkäng, Jean Ruppenthal +2
We study the solvability in of the -equation in a neighborhood of a canonical singularity on a complex surface, a so-called du Val singularity. We get a quite c…
Chern forms of singular metrics on vector bundles
Richard Lärkäng, Hossein Raufi, Jean Ruppenthal +1
We study singular hermitian metrics on holomorphic vector bundles, following Berndtsson-P{ă}un. Previous work by Raufi has shown that for such metrics, it is in general not possibl…
Koppelman formulas on affine cones over smooth projective complete intersections
Richard Lärkäng, Jean Ruppenthal
In the present paper, we study regularity of the Andersson-Samuelsson Koppelman integral operator on affine cones over smooth projective complete intersections. Particularly, we pr…
-sheaves of holomorphic functions and -forms on complex spaces with isolated singularities
Jean Ruppenthal
Let be a Hermitian complex space of pure dimension with isolated singularities. In the present paper, we give a natural resolution for the canonical sheaf of square-integra…