23 citations · 57 across the 9 of their papers we have counts for
9 papers · 1 filter
Norm estimates for the -equation on a non-reduced space
Mats Andersson, Richard Lärkäng
We study norm-estimates for the -equation on non-reduced analytic spaces. Our main result is that on a non-reduced analytic space, which is Cohen-Macaulay and whose u…
Chern currents of coherent sheaves
Richard Lärkäng, Elizabeth Wulcan
Given a finite locally free resolution of a coherent analytic sheaf , equipped with Hermitian metrics and connections, we construct an explicit current, obtained as the…
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…
The -equation on a non-reduced analytic space
Mats Andersson, Richard Lärkäng
Let be a, possibly non-reduced, analytic space of pure dimension. We introduce a notion of -equation on and prove a Dolbeault-Grothendieck lemma. We ob…
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…
Elementary construction of residue currents associated to Cohen-Macaulay ideals
Richard Lärkäng, Emmanuel Mazzilli
For a Cohen-Macaulay ideal of holomorphic functions, we construct by elementary means residue currents whose annihilator is precisely the given ideal. We give two proofs that the c…
Residue currents and fundamental cycles
Richard Lärkäng, Elizabeth Wulcan
We give a factorization of the fundamental cycle of an analytic space in terms of certain differential forms and residue currents associated with a locally free resolution of its s…
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…
Various approaches to products of residue currents
Richard Lärkäng, Håkan Samuelsson
We describe various approaches to Coleff-Herrera products of residue currents (of Cauchy-Fantappiè-Leray type) associated to holomorphic mappings . More precisely, we st…