University of Gothenburg

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19922026

most citedInvestigating the relationship between biodiversity and ecosystem multifunctionality: Challenges and solutions

947 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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47 papers · 1 filter

math.CV2024

Global Chern currents of coherent sheaves and Baum Bott currents

Lucas Kaufmann, Richard Lärkäng, Elizabeth Wulcan

We provide global extensions of previous results about representations of characteristic classes of coherent analytic sheaves and of Baum-Bott residues of holomorphic foliations. W…

math.CV2022

Norm estimates for the $\partial ˉ$ -equation on a non-reduced space

Mats Andersson, Richard Lärkäng

We study norm-estimates for the $\partial ˉ$ -equation on non-reduced analytic spaces. Our main result is that on a non-reduced analytic space, which is Cohen-Macaulay and whose u…

math.CV2021

An explicit isomorphism of different representations of the Ext functor using residue currents

Jimmy Johansson, Richard Lärkäng

Let $F$ be a coherent $O_{X}$ -module over a complex manifold $X$ , and let $G$ be a vector bundle on $X$ . We describe an explicit isomorphism between two different…

math.CV2021

Chern currents of coherent sheaves

Richard Lärkäng, Elizabeth Wulcan

Given a finite locally free resolution of a coherent analytic sheaf $F$ , equipped with Hermitian metrics and connections, we construct an explicit current, obtained as the…

math.CV2019★ 3 cited

On a mixed Monge-Ampère operator for quasiplurisubharmonic functions with analytic singularities

Richard Lärkäng, Martin Sera, Elizabeth Wulcan

We consider mixed Monge-Ampère products of quasiplurisubharmonic functions with analytic singularities, and show that such products may be regularized as explicit one parameter lim…

math.CV2019★ 1 cited

Volterra type integration operators from Bergman spaces to Hardy spaces

Santeri Miihkinen, Jordi Pau, Antti Perälä +1

We completely characterize the boundedness of the Volterra type integration operators $J_{b}$ acting from the weighted Bergman spaces $A_{α}^{p}$ to the Hardy spaces $H^{q}$ of the unit ba…

math.CV2018★ 1 cited

Residue currents and cycles of complexes of vector bundles

Richard Lärkäng, Elizabeth Wulcan

We give a factorization of the cycle of a bounded complex of vector bundles in terms of certain associated differential forms and residue currents. This is a generalization of prev…

math.CV2018★ 1 cited

Estimates for the $\partial ˉ$ -equation on canonical surfaces

Mats Andersson, Richard Lärkäng, Jean Ruppenthal +2

We study the solvability in $L^{p}$ of the $\partial ˉ$ -equation in a neighborhood of a canonical singularity on a complex surface, a so-called du Val singularity. We get a quite c…

math.CV2018★ 6 cited

Chern forms of hermitian metrics with analytic singularities on vector bundles

Richard Lärkäng, Hossein Raufi, Martin Sera +1

We define Chern and Segre forms, or rather currents, associated with a Griffiths positive singular hermitian metric $h$ with analytic singularities on a holomorphic vector bundle $…

math.CV2018★ 18 cited

On local stabilities of $p$ -Kähler structures

Sheng Rao, Xueyuan Wan, Quanting Zhao

By use of a natural extension map and a power series method, we obtain a local stability theorem for p-Kähler structures with the $(p, p + 1)$ -th mild $\partial \partial ˉ$ -lemma und…

math.CV2017

Global Koppelman formulas on (singular) projective varieties

Mats Andersson

Let $i\colon X\to \Pk^N$ be a projective manifold of dimension $n$ embedded in projective space $\Pk^N$, and let $L$ be the pull-back to $X$ of the line bundle $\Ok_{\Pk^N}(1)$. We…

math.CV2017★ 4 cited

The $\partial ˉ$ -equation on a non-reduced analytic space

Mats Andersson, Richard Lärkäng

Let $X$ be a, possibly non-reduced, analytic space of pure dimension. We introduce a notion of $\partial$ -equation on $X$ and prove a Dolbeault-Grothendieck lemma. We ob…

math.CV2016★ 6 cited

On the Maximal Rank Problem for the Complex Homogeneous Monge-Ampère Equation

Julius Ross, David Witt Nyström

We give examples of regular boundary data for the Dirichlet problem for the Complex Homogeneous Monge-Ampère Equation over the unit disc, whose solution is completely degenerate on…

math.CV2016★ 14 cited

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…

math.CV2016★ 7 cited

Complex interpolation of $R$ -norms, duality and foliations

Bo Berndtsson, Dario Cordero-Erausquin, Bo'az Klartag +1

The complex method of interpolation, going back to Calderón and Coifman et al., on the one hand, and the Alexander-Wermer-Slodkowski theorem on polynomial hulls with convex fibers,…

math.CV2016

Toeplitz operators defined by sesquilinear forms: Bergman space case

Grigori Rozenblum, Nikolai Vasilevski

The definition of Toeplitz operators in the Bergman space $A^{2} (D)$ of square integrable analytic functions in the unit disk in the complex plane is extended in such way that it cov…

math.CV2016

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…

math.CV2016★ 4 cited

Holomorphic isometries from the unit ball into symmetric domains

Harald Upmeier, Kai Wang, Genkai Zhang

We construct isometric holomorphic embeddings of the unit ball into higher rank symmetric domains, first discovered by Mok, in an explicit way using Jordan triple systems, and prov…

math.CV2016

Hankel operators and the Dixmier trace on the Hardy space

Miroslav Engliš, Genkai Zhang

We give criteria for the membership of Hankel operators on the Hardy space on the disc in the Dixmier class, and establish estimates for their Dixmier trace. In contrast to the sit…

math.CV2015★ 3 cited

Explicit versions of the local duality theorem in $C^{n}$

Richard Lärkäng

We consider versions of the local duality theorem in $C^{n}$ . We show that there exist canonical pairings in these versions of the duality theorem which can be expressed exp…

math.CV2015★ 9 cited

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…

math.CV2014

A Ronkin type function for coamoebas

Petter Johansson, Håkan Samuelsson Kalm

The Ronkin function plays a fundamental role in the theory of amoebas. We introduce an analogue of the Ronkin function in the setting of coamoebas. It turns out to be closely relat…

math.CV2014★ 2 cited

Extending holomorphic maps from Stein manifolds into affine toric varieties

Richard Lärkäng, Finnur Lárusson

A complex manifold $Y$ is said to have the interpolation property if a holomorphic map to $Y$ from a subvariety $S$ of a reduced Stein space $X$ has a holomorphic extension to $X$ …

math.CV2014★ 6 cited

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 $A_{1}$ -singularity. Particularly, we prove $L^{p}$ - and $C^{0}$ -estimates. A…

Global Chern currents of coherent sheaves and Baum Bott currents

Norm estimates for the ∂ˉ-equation on a non-reduced space

An explicit isomorphism of different representations of the Ext functor using residue currents

Chern currents of coherent sheaves

On a mixed Monge-Ampère operator for quasiplurisubharmonic functions with analytic singularities

Volterra type integration operators from Bergman spaces to Hardy spaces

Residue currents and cycles of complexes of vector bundles

Estimates for the ∂ˉ-equation on canonical surfaces

Chern forms of hermitian metrics with analytic singularities on vector bundles

On local stabilities of p-Kähler structures

Global Koppelman formulas on (singular) projective varieties

The ∂ˉ-equation on a non-reduced analytic space

On the Maximal Rank Problem for the Complex Homogeneous Monge-Ampère Equation

Chern forms of singular metrics on vector bundles

Complex interpolation of R-norms, duality and foliations

Toeplitz operators defined by sesquilinear forms: Bergman space case

Elementary construction of residue currents associated to Cohen-Macaulay ideals

Holomorphic isometries from the unit ball into symmetric domains

Hankel operators and the Dixmier trace on the Hardy space

Explicit versions of the local duality theorem in Cn

Residue currents and fundamental cycles

A Ronkin type function for coamoebas

Extending holomorphic maps from Stein manifolds into affine toric varieties

Koppelman formulas on the A_1-singularity

Norm estimates for the $\partial ˉ$ -equation on a non-reduced space

Estimates for the $\partial ˉ$ -equation on canonical surfaces

On local stabilities of $p$ -Kähler structures

The $\partial ˉ$ -equation on a non-reduced analytic space

Complex interpolation of $R$ -norms, duality and foliations

Explicit versions of the local duality theorem in $C^{n}$