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Multidimensional residues and ideal membership
Perotti, A.

Data: 1998
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Publicat a: Publicacions Matemàtiques, V. 42 n. 1 (1998) p. 143-152, ISSN 0214-1493

Adreça original:
DOI: 10.5565/PUBLMAT_42198_07
DOI: 10.5565/37928

10 p, 157.1 KB

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