M. I. Tulina, V. V. Chueshev, “Prym Differentials on a Variable Compact Riemann Surface”, Mat. Zametki, 2014, Volume 95, Issue 3,Pages <nobr>457

This article is cited in 4 papers

Prym Differentials on a Variable Compact Riemann Surface

M. I. Tulina^a, V. V. Chueshev^b

^a Gorno-Altaisk State University
^b Kemerovo State University

Abstract: The dimensions and bases of the spaces of meromorphic Prym differentials on a variable compact Riemann surface, as well as in the first holomorphic de Rham cohomology group of Prym differentials, are found for any characters.

Keywords: Prym differential, holomorphic de Rham cohomology, variable compact Riemann surface, Jacobian variety, Jacobian bundle, multiplicative function, multiplicative Weierstrass point, multiplicative Weierstrass gap.

UDC: 515.17+517.545

Received: 01.02.2011
Revised: 21.01.2013

DOI: 10.4213/mzm9126