Richard Larkang

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math.CV2026

Segre forms of singular metrics on vector bundles and Lelong numbers

Mats Andersson, Richard LÃ¤rkÃ¤ng

Let $E \to X$ be a holomorphic vector bundle. We consider a class of a singular Hermitian metrics on $E$ 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 LÃ¤rkÃ¤ng

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.CV2024

Global Chern currents of coherent sheaves and Baum Bott currents

Lucas Kaufmann, Richard LÃ¤rkÃ¤ng, 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.CV2024

Baum-Bott residue currents

Lucas Kaufmann, Richard LÃ¤rkÃ¤ng, Elizabeth Wulcan

Let $F$ be a holomorphic foliation of rank $I^º$ on a complex manifold $M$ of dimension $n$ , let $Z$ be a compact connected component of the singular set of $F$ ,…