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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2014 Volume 7, Issue 3, Pages 331–338 (Mi jsfu379)

Univalent differentials of integer order on variable torus

Tatyana S. Krepizina

Kemerovo State University, Red st., 6, Kemerovo, 650043, Russia

Abstract: 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.

UDC: 515.17+517.545

Received: 06.05.2013
Received in revised form: 06.01.2014
Accepted: 20.06.2014

Language: English



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