HARMONIC PRYM DIFFERENTIALS AND THEIR CLASSES PERIODS ON VARIABLE COMPACT RIEMANN SURFACE
Abstract
Harmonic Prym differentials and their periods classes play the big role in contemporary theory functions on compact Riemann surfaces. In this paper is investigated harmonic Prym bundle, whose fibre is space of harmonic Prym differentials on variable compact Riemann surfaces. Proven that cohomology Gunning bundle, which connect with periods classes, are real analytically isomorphic harmonic Prym bundle over product Teichmueller space and a space of nontrivial normalized characters.
Keywords
harmonic Prym differential,
variable compact Riemann surface,
variable characters,
Teichmueller space
515.17 + 517.545
About the Authors
Tatiana Alexeevna Pushkareva
Gorno-Altai State University
Russian Federation
Russian Federation
Victor Vasilievich Chueshev
Kemerovo State University
Russian Federation
Russian Federation
References
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Review
For citations:
Pushkareva T.A., Chueshev V.V. HARMONIC PRYM DIFFERENTIALS AND THEIR CLASSES PERIODS ON VARIABLE COMPACT RIEMANN SURFACE. The Bulletin of Kemerovo State University. 2011;(3-1):211-216. (In Russ.)
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