Título inglés | Multidimensional residues and ideal membership. |
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Título español | Residuos multidimensionales y miembros del ideal. |
Autor/es | Perotti, Alessandro |
Organización | Dip. Mat. Univ. Milano, Milán, Italia |
Revista | 0214-1493 |
Publicación | 1998, 42 (1): 143-152, 9 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | Let I(f) be a zero-dimensional ideal in C[z1, ..., zn] defined 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 finite number of logarithmic residues. In the general case, you have to perturb the mapping f. Some applications are given. In particular, the global residue gives, for any polynomial, a canonical representative in the quotient space C[z]/I(f). |
Clasificación UNESCO | 120211 |
Palabras clave español | Funciones de variable compleja ; Funciones de varias variables ; Funciones holomorfas de varias variables ; Residuos |
Código MathReviews | MR1628158 |
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