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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 6, Pages 1217–1250
DOI: https://doi.org/10.1070/IM1972v006n06ABEH001916 (Mi im2370) 		 
Cohomology of complexes of meromorphic forms and residues

V. A. Krasnov
English version PDF (1222 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1972v006n06ABEH001916
Abstract: We study the cohomology of complexes of meromorphic forms on a Kähler manifold whose poles lie on a fixed submanifold. We study the connection between the order of the pole of such forms and the type of their residue class depending on a infinitesimal neighborhood of the submanifold.
Received: 21.03.1972
Bibliographic databases:
UDC: 513.6
MSC: 32C35
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “Cohomology of complexes of meromorphic forms and residues”, Math. USSR-Izv., 6:6 (1972), 1217–1250
Citation in format AMSBIB
\Bibitem{Kra72}
\by V.~A.~Krasnov
\paper Cohomology of complexes of meromorphic forms and residues
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 6
\pages 1217--1250
\mathnet{http://mi.mathnet.ru/eng/im2370}
\crossref{https://doi.org/10.1070/IM1972v006n06ABEH001916}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=407305}
\zmath{https://zbmath.org/?q=an:0248.32007}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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