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GROUP OF CHARACTERS AND MULTIPLICATIVE FUNCTIONS ON TORUS

Abstract

In this article given a description for group of characters and her some subgroups. Connections their with Yacobi variety on torus are established. Dimensions and basics for space of holomorphic multiplicative functions and holomorphic Prymdifferentials for every orders on torus are obtained.

About the Author

Tatjiana Sergeevna Krepizina
KemSU
Russian Federation


References

1. Чуешев, В. В. Мультипликативные функции дифференциала Прима на переменной компактной римановой поверхности. Ч. 2. / В. В. Чуешев. - Кемерово: Кузбассвузиздат, 2003.

2. Appell, P. Principes de la theorie des fonctionselliptiqueset applications / P. Appell, E. Lacour. - Paris: Gauthier-Villars, 1897.

3. Farkas, H. M. Riemann surfaces, Grad. Texts in Math., 71 / H. M. Farkas, I. Kra. - New-York: Springer-Verlag, 1992.

4. Gunning, R. C. On the period classes of Prym differentials / R. C. Gunning // J. ReineAngew. Math. - 1980. - № 319. - 153 - 171


Review

For citations:


Krepizina T.S. GROUP OF CHARACTERS AND MULTIPLICATIVE FUNCTIONS ON TORUS. The Bulletin of Kemerovo State University. 2011;(4):73-77. (In Russ.)

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ISSN 2949-2122 (Print)
ISSN 2949-2092 (Online)