Abstract
LetZ be the zero set of a holomorphic sectionf of a Hermitian vector bundle. It is proved that the current of integration over the irreducible components ofZ of top degree, counted with multiplicities, is a product of a residue factorR f and a “Jacobian factor”. There is also a relation to the Monge-Ampère expressions (dd c log|f|)k, which we define for all positive powersk.
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The author was partially supported by the Swedish Research Council.
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Andersson, M. Residues of holomorphic sections and lelong currents. Ark. Mat. 43, 201–219 (2005). https://doi.org/10.1007/BF02384777
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DOI: https://doi.org/10.1007/BF02384777