Prym Differentials on Variable Tori

被引：0

作者：

Krepitsina T.S. ^{[1
]}

Chueshev V.V. ^{[1
]}

机构：

[1] Kemerovo State University, 6, Krasnaya St., Kemerovo

来源：

Journal of Mathematical Sciences | 2018年 / 230卷 / 1期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1007/s10958-018-3729-9

中图分类号：

学科分类号：

摘要：

We consider multiplicative functions and Prym differentials on variable tori. We prove counterparts of the theorem on the total sum of residues for Prym differentials of any integer order on tori. As a consequence, reciprocity laws are proved. We construct elementary Prym differentials of all kinds with any integer order which holomorphically depend on the moduli of tori and characters. We derive an analogue of the Appell decomposition formula for functions with characters. We also study vector bundles of Prym differentials of any integer order over the product of Teichmueller spaces for a torus and a group of characters. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：79 / 94

页数：15

共 8 条

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