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Mathematics of the USSR-Izvestiya, 1980, Volume 15, Issue 2, Pages 241–258
DOI: https://doi.org/10.1070/IM1980v015n02ABEH001222 (Mi im1745) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On real homotopy properties of complete intersections

I. K. Babenko
English version PDF (1007 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM1980v015n02ABEH001222
Abstract: The real homotopy type of complete intersections in $\mathbf CP^N$ is studied. It is proved that these manifolds are intrinsically formal in the sense of Stashev and Gal'perin. The Poincaré series of the loop space on complete intersections is computed, and thus the validity of the Serre conjecture on the rationality for such complexes is established. As a corollary, a formula for the rational homotopy groups of a complete intersection is obtained.
Bibliography: 12 titles.
Received: 03.05.1979
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1979, Volume 43, Issue 5, Pages 1004–1024
Bibliographic databases:
UDC: 513.6
MSC: Primary 55P15, 55P35, 14F25; Secondary 14E30, 13N05, 55T05, 55T10
Language: English
Original paper language: Russian
Citation: I. K. Babenko, “On real homotopy properties of complete intersections”, Izv. Akad. Nauk SSSR Ser. Mat., 43:5 (1979), 1004–1024; Math. USSR-Izv., 15:2 (1980), 241–258
Citation in format AMSBIB
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\paper On real homotopy properties of complete intersections
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\transl
\jour Math. USSR-Izv.
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  • https://doi.org/10.1070/IM1980v015n02ABEH001222
  • https://www.mathnet.ru/eng/im/v43/i5/p1004
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:377
    Russian version PDF:109
    English version PDF:17
    References:71
    First page:3
     
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