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The separating subgroup and local residues

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Literature Cited

  1. P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley, New York, 1948.

    Google Scholar 

  2. L. A. Aizenberg and A. P. Yuzhakov, Integral Representations and Residues in Multidimensional Complex Analysis [in Russian], Nauka, Novosibirsk (1979).

    Google Scholar 

  3. G. P. Egorychev, Integral Representations and Calculation of Combinatorial Sums [in Russian], Nauka, Novosibirsk (1977).

    Google Scholar 

  4. 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).

    Google Scholar 

  5. 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).

    Google Scholar 

  6. L. I. Fantappié, “I funzionali delle funzioni di due variabili,” Mem. Rend. Accad. Ital. Roma,2, No. 4, 1–172 (1931).

    Google Scholar 

  7. E. Martinelli, “Contributi alla teoria dei residui per le funzioni di due variabili complesse,” Ann. Mat. Pura Appl.,39, No. 4, 335–343 (1955).

    Google Scholar 

  8. G. Sorani, “Sull'indicatore logaritmico per le funzioni di piu variabili complesse,” Rend. Mat. e Appl.,19, 130–142 (1960).

    Google Scholar 

  9. 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).

    Google Scholar 

  10. A. K. Tsikh, “On cycles that separate the zeros of analytic functions in Cn,” Sib. Mat. Zh.,16, 1118–1121 (1975).

    Google Scholar 

  11. P. Griffiths, “Variations on the theorem of Abel,” Invent. Math.,35, 321–390 (1976).

    Google Scholar 

  12. 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).

    Google Scholar 

  13. 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.

    Google Scholar 

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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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