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 Sibirsk. Mat. Zh., 2013, Volume 54, Number 4, Pages 914–931 (Mi smj2466)

Single-valued differentials and special divisors of Prym differentials

M. I. Tulina

Gorno-Altaisk State University, Gorno-Altaisk, Russia

Abstract: The theory of multiplicative functions and Prym differentials on a compact Riemann surface has found numerous applications in function theory, analytic number theory, and equations of mathematical physics. We give a full constructive description for the divisors of elementary abelian differentials of integer order and all three kinds depending holomorphically on the modulus of compact Riemann surfaces $F$. We study the location of zeros of holomorphic Prym differentials on $F$, as well as the structure of the set of (multiplicatively) special divisors on $F$ in the spaces $F_{g-1}$ and $F_{g-2}$.

Keywords: Prym differential, divisor, abelian differential, compact Riemann surface, character.

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English version:
Siberian Mathematical Journal, 2013, 54:4, 731–745

Bibliographic databases:

UDC: 515.17+517.545

Citation: M. I. Tulina, “Single-valued differentials and special divisors of Prym differentials”, Sibirsk. Mat. Zh., 54:4 (2013), 914–931; Siberian Math. J., 54:4 (2013), 731–745

Citation in format AMSBIB
\Bibitem{Tul13} \by M.~I.~Tulina \paper Single-valued differentials and special divisors of Prym differentials \jour Sibirsk. Mat. Zh. \yr 2013 \vol 54 \issue 4 \pages 914--931 \mathnet{http://mi.mathnet.ru/smj2466} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3137156} \transl \jour Siberian Math. J. \yr 2013 \vol 54 \issue 4 \pages 731--745 \crossref{https://doi.org/10.1134/S0037446613040137} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000323742800013} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84883415683} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. M. I. Tulina, V. V. Chueshev, “Prym Differentials on a Variable Compact Riemann Surface”, Math. Notes, 95:3 (2014), 418–433
2. T. A. Pushkareva, “Bilinear Relations for Periods Prym Differentials on Riemann Surfaces”, J. Math. Sci., 211:6 (2015), 829–846
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