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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2014 Volume 14, Issue 1, Pages 66–83 (Mi vngu327)

Bilinear Relations for Periods Prym Differentials on Riemann Surfaces

T. A. Pushkareva

Gorno-Altaisk State University

Abstract: Riemann's bilinear relations for periods Abelian differentials play big role in geometrical theory functions on fixed compact Riemann surfaces. In article are all basic relations for periods and views bilinear relations between periods elementary Prym differentials three kinds on variable compact Riemann surface for every characters found.

Keywords: periods Prym differentials, variable compact Riemann surface, characters.

UDC: 515.17+517.545

Received: 13.09.2013


 English version:
Journal of Mathematical Sciences, 2015, 211:6, 829–846


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