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Izvestiya: Mathematics, 2005, Volume 69, Issue 1, Pages 143–162
DOI: https://doi.org/10.1070/IM2005v069n01ABEH000525 (Mi im628) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the numerical equivalence of algebraic cycles on potentially simple Abelian schemes of prime relative dimension

S. G. Tankeev

Vladimir State University
English version PDF (303 kB) Citations (9)
References:
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DOI: https://doi.org/10.1070/IM2005v069n01ABEH000525
Abstract: Let $\pi\colon X\to C$ be a potentially simple complex Abelian scheme of prime relative dimension over a smooth projective curve. We prove that numerical equivalence of algebraic cycles on $X$ coincides with homological equivalence.
Received: 16.03.2004
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2005, Volume 69, Issue 1, Pages 145–164
DOI: https://doi.org/10.4213/im628
Bibliographic databases:
UDC: 512.6
MSC: 14C25, 14K15, 11G10
Language: English
Original paper language: Russian
Citation: S. G. Tankeev, “On the numerical equivalence of algebraic cycles on potentially simple Abelian schemes of prime relative dimension”, Izv. RAN. Ser. Mat., 69:1 (2005), 145–164; Izv. Math., 69:1 (2005), 143–162
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2005v069n01ABEH000525
  • https://www.mathnet.ru/eng/im/v69/i1/p145
    • This publication is cited in the following 9 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:701
    Russian version PDF:203
    English version PDF:14
    References:65
    First page:1
     
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