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| Home > Articles > Published articles > Multidimensional residues and ideal membership |
| Date: | 1998 |
| Abstract: | Let I(f) be a zero-dimensional ideal in C[z1; : : : ; zn] de¯ned by a mapping f. We compute the logarithmic residue of a polynomial g with respect to f. We adapt an idea introduced by Aizenberg to reduce the computation to a special case by means of a limiting process. We then consider the total sum of local residues of g w. r. t. f. If the zeroes of f are simple, this sum can be computed from a ¯nite number of logarithmic residues. In the general case, you have to perturb the mapping f. Some applications are given. In particular, the global residue. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 42 n. 1 (1998) p. 143-152, ISSN 2014-4350 |
