Vector Bundle of Prym Differentials over Teichm¨uller Spaces of Surfaces with Punctures
2019 ◽
pp. 263-275
Keyword(s):
In this paper we study multiplicative meromorphic functions and differentials on Riemann surfaces of finite type. We prove an analog of P. Appell’s formula on decomposition of multiplicative functions with poles of arbitrary multiplicity into a sum of elementary Prym integrals. We construct explicit bases for some important quotient spaces and prove a theorem on a fiber isomorphism of vector bundles and n!-sheeted mappings over Teichm¨uller spaces. This theorem gives an important relation between spaces of Prym differentials (Abelian differentials) on a compact Riemann surfaces and on a Riemann surfaces of finite type
1969 ◽
Vol 21
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pp. 284-300
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2018 ◽
Vol 29
(1)
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pp. 785-798
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2005 ◽
Vol 50
(15)
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pp. 1163-1164
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