Various approaches to products of residue currents

Autor: Lärkäng, Richard, Samuelsson, Håkan
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