3 papers
math.CV2026
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…
math.CV2024
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…
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…