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Mathematics of the USSR-Izvestiya, 1986, Volume 26, Issue 3, Pages 437–477
DOI: https://doi.org/10.1070/IM1986v026n03ABEH001155 (Mi im1363) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Cohomology of a quasihomogeneous complete intersection

A. G. Aleksandrov
English version PDF (2263 kB) Citations (20)
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DOI: https://doi.org/10.1070/IM1986v026n03ABEH001155
Abstract: In this paper are computed the Poincaré series of the highest local cohomology of the modules of regular forms on a nondegenerate quasihomogeneous singularity and the dimensions of the cohomology spaces of the bidual sheaves of holomorphic forms on a quasismooth complete intersection. Theorems are proved about the structure of the module of vector fields on a nondegenerate quasihomogeneous singularity and about whether the maximal modular stratum of a versal deformation of such a singularity is reduced.
Bibliography: 47 titles.
Received: 23.12.1982
Revised: 22.12.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1985, Volume 49, Issue 3, Pages 467–510
Bibliographic databases:
UDC: 513.015.7+515.17
MSC: Primary 14B05; Secondary 14B07, 14B15, 14L30, 14M30, 32B30
Language: English
Original paper language: Russian
Citation: A. G. Aleksandrov, “Cohomology of a quasihomogeneous complete intersection”, Izv. Akad. Nauk SSSR Ser. Mat., 49:3 (1985), 467–510; Math. USSR-Izv., 26:3 (1986), 437–477
Citation in format AMSBIB
\Bibitem{Ale85}
\by A.~G.~Aleksandrov
\paper Cohomology of a~quasihomogeneous complete intersection
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1985
\vol 49
\issue 3
\pages 467--510
\mathnet{http://mi.mathnet.ru/im1363}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=794953}
\zmath{https://zbmath.org/?q=an:0647.14027}
\transl
\jour Math. USSR-Izv.
\yr 1986
\vol 26
\issue 3
\pages 437--477
\crossref{https://doi.org/10.1070/IM1986v026n03ABEH001155}
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  • https://www.mathnet.ru/eng/im/v49/i3/p467
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:367
    Russian version PDF:129
    English version PDF:5
    References:54
    First page:2
     
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