A generalization of the transformation law for residues. (Une généralisation de la loi de transformation pour les résidus.) (French) Zbl 0946.32001
The authors present a complete proof of the generalised transformation law for multivariate residues, proposed by M. Kytmanov in [Sib. Mat. Zh. 29, No. 3(169), 198-202 (1988; Zbl 0646.32006)], by means of Bochner-Martinelli integral representations. They also extend this result to the algebraic residue formalism developed by J. Lipman in [Contemporary Mathematics 61, 95 p. (1987; Zbl 0606.14015)].
Reviewer: A.Dickenstein (Buenos Aires)
MSC:
| 32A27 | Residues for several complex variables |
| 32A25 | Integral representations; canonical kernels (Szegő, Bergman, etc.) |
| 14F10 | Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials |
Keywords:
residue; transformation law; integral representation of Bochner-Martinelli type; quasi-regular sequenceReferences:
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