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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 1, Pages 74–90 (Mi vngu109)  
This article is cited in 2 scientific papers (total in 2 papers)

Multiplicative functions and Prym differentials on variable torus

T. S. Krepitsina, V. V. Chueshev

Kemerovo State University, Kemerovo, Russia
Full-text PDF (263 kB) Citations (2)
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Abstract: In this article started construction general theory of multiplicative functions and Prym differentials on variable torus. The Abel's theorem are proved. Dimensions spaces of holomorphic multiplicative functions and Prym differentials on torus are found. New properties for spaces of meromorphic Prym differentials on variable torus are obtained. For two important factor spaces such differentials constructed basics. Moreover, dimension the first holomorphic de Rham cohomology group of Prym differentials for characters on torus are obtained.
Keywords: multiplicative functions and Prym differentials on compact Riemann surface, Teichmueller space, abelian differentials on torus, character group.
Received: 05.05.2011
English version:
Journal of Mathematical Sciences, 2014, Volume 198, Issue 5, Pages 546–563
DOI: https://doi.org/10.1007/s10958-014-1807-1
Document Type: Article
UDC: 515.17+517.545
Language: Russian
Citation: T. S. Krepitsina, V. V. Chueshev, “Multiplicative functions and Prym differentials on variable torus”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:1 (2012), 74–90; J. Math. Sci., 198:5 (2014), 546–563
Citation in format AMSBIB
\Bibitem{KreChu12}
\by T.~S.~Krepitsina, V.~V.~Chueshev
\paper Multiplicative functions and Prym differentials on variable torus
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 1
\pages 74--90
\mathnet{http://mi.mathnet.ru/vngu109}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 198
\issue 5
\pages 546--563
\crossref{https://doi.org/10.1007/s10958-014-1807-1}
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  • https://www.mathnet.ru/eng/vngu/v12/i1/p74
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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    References:38
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