Residue currents and cycles of complexes of vector bundles
Complex Variables
2022-05-16 v2 Algebraic Geometry
Abstract
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 previous results in the case when the complex is a locally free resolution of the structure sheaf of an analytic space and it can be seen as a generalization of the classical Poincar\'e-Lelong formula.
Keywords
Cite
@article{arxiv.1806.06782,
title = {Residue currents and cycles of complexes of vector bundles},
author = {Richard Lärkäng and Elizabeth Wulcan},
journal= {arXiv preprint arXiv:1806.06782},
year = {2022}
}
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19 pages