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Izvestiya: Mathematics, 2001, Volume 65, Issue 1, Pages 123–180
DOI: https://doi.org/10.1070/im2001v065n01ABEH000324 (Mi im324) 		 
This article is cited in 3 scientific papers (total in 4 papers)

Non-abelian analogues of Abel's theorem

A. N. Tyurin

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (1180 kB) Citations (4)
References:
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DOI: https://doi.org/10.1070/im2001v065n01ABEH000324
Abstract: Vafa [29] extended a version of mirror symmetry to pairs consisting of a Calabi–Yau manifold and a fixed vector bundle on it. In [30] he considered the mathematical meaning of this extension. In this paper we prove the main facts concerning the geometry of vector bundles on Calabi–Yau manifolds and describe all constructions that enable us to embed them in the general context of modern physical concepts.
Received: 16.05.2000
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 1, Pages 133–196
DOI: https://doi.org/10.4213/im324
Bibliographic databases:
MSC: 14J32, 53C15
Language: English
Original paper language: Russian
Citation: A. N. Tyurin, “Non-abelian analogues of Abel's theorem”, Izv. RAN. Ser. Mat., 65:1 (2001), 133–196; Izv. Math., 65:1 (2001), 123–180
Citation in format AMSBIB
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\by A.~N.~Tyurin
\paper Non-abelian analogues of Abel's theorem
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 1
\pages 133--196
\mathnet{http://mi.mathnet.ru/im324}
\crossref{https://doi.org/10.4213/im324}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1829408}
\zmath{https://zbmath.org/?q=an:1015.14020}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 1
\pages 123--180
\crossref{https://doi.org/10.1070/im2001v065n01ABEH000324}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-7244229517}
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  • https://doi.org/10.1070/im2001v065n01ABEH000324
  • https://www.mathnet.ru/eng/im/v65/i1/p133
    • 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 Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:532
    Russian version PDF:300
    English version PDF:15
    References:59
    First page:1
     
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