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Bilinear Relations for Periods of Prym Differentials on Riemann Surfaces

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We find all the main relations for periods and the forms of bilinear relations between periods of elementary Prym differentials of all three kinds for any characters on a variable compact Riemann surface. Bibliography: 8 titles. Illustrations: 5 figures.

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References

  1. L. Ahlfors and L. Bers Spaces of Riemann Surfaces and Quasiconformal Mappings [in Russian], IL, Moscow (1961).

  2. P. Appell, “On the integrals of functions with multipliers and their applications to Abelian functions in trigonometric series” [in French], Acta Math. 13, 1–174 (1890).

    MATH  Google Scholar 

  3. G. Kempf, “A property of the periods of a Prym differential,” Proc. Am. Math. Soc. 54, 181–184 (1976).

    Article  MATH  MathSciNet  Google Scholar 

  4. H. M. Farkas and I. Kra, Riemann Surfaces, Springer, New York (1992).

    Book  MATH  Google Scholar 

  5. R. C. Gunning, “On the period classes of Prym differentials,” J. Reine Angew. Math. 319, 153–171 (1980).

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  6. V. V. Chueshev, Multiplicative Functions and Prym Differentials on Variable Compact Riemann Surfaces. II [in Russian], Kemerovo Univ. Press, Kemerovo (2003).

  7. T. A. Pushkareva, “Residues and elementary Prym differentials on compact Riemann surfaces” [in Russian], Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 13, No. 2, 99–118 (2013); English transl.: J. Math. Sci., New York 203, No. 4, 570–590 (2014).

  8. M. I. Tulina, “Single-valued differentials and special divisors of Prym differentials” [in Russian], Sib. Mat. Zh. 54, No. 4, 914–931 (2013); English transl.: Sib. Math. J. 54, No. 4, 731–745 (2013).

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Correspondence to T. A. Pushkareva.

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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 14, No. 1, 2014, pp. 66-83.

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Pushkareva, T.A. Bilinear Relations for Periods of Prym Differentials on Riemann Surfaces. J Math Sci 211, 829–846 (2015). https://doi.org/10.1007/s10958-015-2638-4

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  • DOI: https://doi.org/10.1007/s10958-015-2638-4

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