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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) Russian version article
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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
Bibliographic databases:
MSC: 14J32, 53C15
Language: English
Original paper language: Russian
Citation: A. N. Tyurin, “Non-abelian analogues of Abel's theorem”, Izv. Math., 65:1 (2001), 123–180
Citation in format AMSBIB
\Bibitem{Tyu01}
\by A.~N.~Tyurin
\paper Non-abelian analogues of Abel's theorem
\jour Izv. Math.
\yr 2001
\vol 65
\issue 1
\pages 123--180
\mathnet{http://mi.mathnet.ru//eng/im324}
\crossref{https://doi.org/10.1070/im2001v065n01ABEH000324}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1829408}
\zmath{https://zbmath.org/?q=an:1015.14020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-7244229517}
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  • 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
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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