Geodesic
The spaces of meromorphic Prym differentials on finite tori
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 2, pp. 162-172

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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.
Keywords: Prym differentials for arbitrary characters, the Gunning cohomological bundle over the Teichmuller space torus with a finite numbers of punctures. 
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Olga A. Chuesheva. The spaces of meromorphic Prym differentials on finite tori. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 2, pp. 162-172. http://geodesic.mathdoc.fr/item/JSFU_2014_7_2_a2/