Various approaches to products of residue currents
Autor: | Lärkäng, Richard, Samuelsson, Håkan |
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Rok vydání: | 2010 |
Předmět: | |
Zdroj: | J. Funct. Anal. 264 (2013), no. 1, 118-138 |
Druh dokumentu: | Working Paper |
DOI: | 10.1016/j.jfa.2012.10.004 |
Popis: | We describe various approaches to Coleff-Herrera products of residue currents $R^j$ (of Cauchy-Fantappi\`e-Leray type) associated to holomorphic mappings $f_j$. More precisely, we study to which extent (exterior) products of natural regularizations of the individual currents $R^j$ yield regularizations of the corresponding Coleff-Herrera products. Our results hold globally on an arbitrary pure-dimensional complex space. Comment: 23 pages, rewritten introduction |
Databáze: | arXiv |
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