9 citations · 33 across the 13 of their papers we have counts for
13 papers
Segre forms of singular metrics on vector bundles and Lelong numbers
Mats Andersson, Richard Lärkäng
Let be a holomorphic vector bundle. We consider a class of a singular Hermitian metrics on with analytic singularities that contains all Griffiths negative such metric…
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…
Baum-Bott residue currents
Lucas Kaufmann, Richard Lärkäng, Elizabeth Wulcan
Let be a holomorphic foliation of rank on a complex manifold of dimension , let be a compact connected component of the singular set of ,…
An explicit isomorphism of different representations of the Ext functor using residue currents
Jimmy Johansson, Richard Lärkäng
Let be a coherent -module over a complex manifold , and let be a vector bundle on . We describe an explicit isomorphism between two different…
The -equation for -forms on a non-reduced analytic space
Mats Andersson, Richard Lärkäng, Mattias Lennartsson +1
On any pure -dimensional, possibly non-reduced, analytic space we introduce the sheaves of smooth -forms and certain extensions $\mathscr{A}_X^{…
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…
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 with analytic singularities on a holomorphic vector bundle $…
Explicit versions of the local duality theorem in
Richard Lärkäng
We consider versions of the local duality theorem in . We show that there exist canonical pairings in these versions of the duality theorem which can be expressed exp…
Extending holomorphic maps from Stein manifolds into affine toric varieties
Richard Lärkäng, Finnur Lárusson
A complex manifold is said to have the interpolation property if a holomorphic map to from a subvariety of a reduced Stein space has a holomorphic extension to …
Residue currents with prescribed annihilator ideals on singular varieties
Richard Lärkäng
Given an ideal on a complex manifold, Andersson and Wulcan constructed a current such that the annihilator of is , genera…
A comparison formula for residue currents
Richard Lärkäng
Given two ideals and of holomorphic functions such that , we describe a comparison formula relating the Andersson-Wul…
On the duality theorem on an analytic variety
Richard Lärkäng
The duality theorem for Coleff-Herrera products on a complex manifold says that if defines a complete intersection, then the annihilator of the Coleff-Herrera…
Residue currents associated with weakly holomorphic functions
Richard Lärkäng
We construct Coleff-Herrera products and Bochner-Martinelli type residue currents associated with a tuple of weakly holomorphic functions, and show that these currents satisfy…