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Izvestiya: Mathematics, 2011, Volume 75, Issue 5, Pages 1047–1062
DOI: https://doi.org/10.1070/IM2011v075n05ABEH002563 (Mi im4279) 		 
This article is cited in 25 scientific papers (total in 25 papers)

On the standard conjecture of Lefschetz type for complex projective threefolds. II

S. G. Tankeev

Vladimir State University
English version PDF (344 kB) Citations (25)
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DOI: https://doi.org/10.1070/IM2011v075n05ABEH002563
Abstract: We show that Grothendieck's standard conjecture of Lefschetz type on the algebraicity of the operators $\ast$ and $\Lambda$ of Hodge theory holds for all smooth complex projective threefolds of Kodaira dimension $\varkappa<3$.
Keywords: complex projective threefold of non-basic type, standard conjecture of Lefschetz type, Friedlander–Mazur conjecture.
Received: 28.12.2009
Revised: 20.04.2010
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2011, Volume 75, Issue 5, Pages 177–194
DOI: https://doi.org/10.4213/im4279
Bibliographic databases:
Document Type: Article
UDC: 512.6
MSC: 14C25, 14F25, 14J30
Language: English
Original paper language: Russian
Citation: S. G. Tankeev, “On the standard conjecture of Lefschetz type for complex projective threefolds. II”, Izv. RAN. Ser. Mat., 75:5 (2011), 177–194; Izv. Math., 75:5 (2011), 1047–1062
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v75/i5/p177
    Cycle of papers
    This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:669
    Russian version PDF:174
    English version PDF:12
    References:44
    First page:35
     
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