Nous démontrons que, si une application holomorphe d'une variété complexe à valeurs dans définit une intersection complète, alors le courant résiduel de Coleff–Herrera correspondant peut être régularisé par une -forme dépendant de deux paramètres.
We prove that if a holomorphic mapping from some complex manifold to defines a complete intersection then the corresponding Coleff–Herrera residue current can be smoothly regularised by a -form depending on two parameters.
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@article{CRMATH_2004__339_4_245_0, author = {Samuelsson, H\r{a}kan}, title = {A regularisation of the {Coleff{\textendash}Herrera} residue current}, journal = {Comptes Rendus. Math\'ematique}, pages = {245--250}, publisher = {Elsevier}, volume = {339}, number = {4}, year = {2004}, doi = {10.1016/j.crma.2004.06.003}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2004.06.003/} }
TY - JOUR AU - Samuelsson, Håkan TI - A regularisation of the Coleff–Herrera residue current JO - Comptes Rendus. Mathématique PY - 2004 SP - 245 EP - 250 VL - 339 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.06.003/ DO - 10.1016/j.crma.2004.06.003 LA - en ID - CRMATH_2004__339_4_245_0 ER -
Samuelsson, Håkan. A regularisation of the Coleff–Herrera residue current. Comptes Rendus. Mathématique, Tome 339 (2004) no. 4, pp. 245-250. doi : 10.1016/j.crma.2004.06.003. http://www.numdam.org/articles/10.1016/j.crma.2004.06.003/
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