Literature Cited
P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley, New York, 1948.
L. A. Aizenberg and A. P. Yuzhakov, Integral Representations and Residues in Multidimensional Complex Analysis [in Russian], Nauka, Novosibirsk (1979).
G. P. Egorychev, Integral Representations and Calculation of Combinatorial Sums [in Russian], Nauka, Novosibirsk (1977).
K. V. Safonov and A. K. Tsikh, “On singularities of the Grothendieck parametric residue and diagonals of a double power series,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 4, 51–58 (1984).
A. K. Tsikh, “Criteria for representabiity of an integral over a cycle in terms of Grothendieck residues. Some applications,” Dokl. Akad. Nauk SSSR,277, No. 5, 1083–1087 (1984).
L. I. Fantappié, “I funzionali delle funzioni di due variabili,” Mem. Rend. Accad. Ital. Roma,2, No. 4, 1–172 (1931).
E. Martinelli, “Contributi alla teoria dei residui per le funzioni di due variabili complesse,” Ann. Mat. Pura Appl.,39, No. 4, 335–343 (1955).
G. Sorani, “Sull'indicatore logaritmico per le funzioni di piu variabili complesse,” Rend. Mat. e Appl.,19, 130–142 (1960).
A. P. Yuzhakov, “A certain coboundary condition, in the sense of Leray, and its application to the logarithmic residue,” Sib. Mat. Zh.,11, No. 3, 708–711 (1970).
A. K. Tsikh, “On cycles that separate the zeros of analytic functions in Cn,” Sib. Mat. Zh.,16, 1118–1121 (1975).
P. Griffiths, “Variations on the theorem of Abel,” Invent. Math.,35, 321–390 (1976).
A. K. Tsikh and A. P. Yuzhakov, “Properties of the complete sum of residues with respect to a polynomial map in Cn and their applications,” Sib. Mat. Zh.,25, No. 4, 207–213 (1984).
A. P. Yuzhakov, “On the separation of analytic singularities and expansion into the simplest fractions of holomorphic functions and variables,” in: Multidimensional Complex Analysis, Inst. Fiz., Sib. Otd. SSSR, Krasnoyarsk (1986), pp. 210–220.
Additional information
Krasnoyarsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 6, pp. 197–203, November–December, 1988.
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Yuzhakov, A.P. The separating subgroup and local residues. Sib Math J 29, 1028–1033 (1988). https://doi.org/10.1007/BF00972430
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DOI: https://doi.org/10.1007/BF00972430