Journal of Siberian Federal University. Mathematics & Physics / The Spaces of Meromorphic Prym Differentials on Finite Tori

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (2)
Authors
Chuesheva, Olga A.
Contact information
Chuesheva, Olga A.:Kemerovo State University, Krasnaya, 6, Kemerovo, 650043, Russia;
Keywords
Prym differentials for arbitrary characters; the Gunning cohomological bundle over the Te- ichmuller space torus with a finite numbers of punctures
Abstract

In this article we construct all kinds of elementary Prym differentials for arbitrary characters on a variable torus with a finite numbers of punctures and find the dimensions of two important quotient spaces. As a consequence, this yields the dimension of the first holomorphic de Rham cohomology group of Prym differentials for arbitrary characters on torus. Also, we construct explicit bases in these quotient spaces

Pages
162–172
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/10302