Geodesic
Univalent differentials of integer order on variable torus
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 331-338 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we give a full description for divisors of elementary differentials of all kinds. An analog of Appell's expansion formula for univalent functions on a variable torus is obtained. All basic type of vector bundles of meromorphic differentials of integer order over a Teichmüller space for torus are studied.
Keywords: univalent meromorphic differentials of integer order, divisors, vector bundles over Teichmüller space for torus. 
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Tatyana S. Krepizina. Univalent differentials of integer order on variable torus. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 3, pp. 331-338. http://geodesic.mathdoc.fr/item/JSFU_2014_7_3_a7/

[1] H. M. Farkas, I. Kra, Riemann surfaces, Springer, New-York, 1992 | MR | Zbl

[2] G. Springer, Introduction to Riemann Surfaces, Addison-Wesley, Massachusetts, 1957 | MR | Zbl

[3] L. V. Ahlfors, L. Bers, Spaces of Riemann surfaces and quasi-conformal mappings, M., 1961 (in Russian) | MR

[4] V. V. Chueshev, Multiplicative functions and Prym differentials on variable compact Riemann surface, v. 2, Kemerovo, 2003 (in Russian)

[5] C. J. Earle, “Families of Riemann surfaces and Jacobi varieties”, Annals of Mathematics, 107 (1978), 255–286 | DOI | MR | Zbl

[6] V. N. Monahov, E. V. Semenko, Boundary problems and pseudodifferential operators on Riemann surfaces, Fizmatlit, M., 2003 (in Russian)

[7] T. S. Krepizina, “Divisors of Prym differentials and Abelian differential on torus”, Vestnik KemGU, 1:3 (2011), 206–211 (in Russian)

[8] T. S. Krepizina, V. V. Chueshev, “Multiplicative functions and Prym differentials on variable tori”, Vestnik NGU, 12:1 (2012), 74–90 (in Russian)