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2019 Spin structures and branch divisors on $p$-gonal Riemann surfaces
Yahya Almalki, Craig A. Nolder
Rocky Mountain J. Math. 49(6): 1769-1791 (2019). DOI: 10.1216/RMJ-2019-49-6-1769

Abstract

We study spin structures on Riemann and Klein surfaces in terms of divisors. In particular, we take a closer look at spin structures on hyperelliptic and $p$-gonal surfaces defined by divisors supported on their branch points. Moreover, we study invariant spin divisors under automorphisms and antiholomorphic involutions of Riemann surfaces and count them. We generalize a formula that gives $2$-spin divisors, proved by Mumford, to the case of $m$-spin divisors for an even $m$, supported on branch points of a hyperelliptic surface.

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Yahya Almalki. Craig A. Nolder. "Spin structures and branch divisors on $p$-gonal Riemann surfaces." Rocky Mountain J. Math. 49 (6) 1769 - 1791, 2019. https://doi.org/10.1216/RMJ-2019-49-6-1769

Information

Published: 2019
First available in Project Euclid: 3 November 2019

zbMATH: 07136577
MathSciNet: MR4027232
Digital Object Identifier: 10.1216/RMJ-2019-49-6-1769

Subjects:
Primary: 30F30
Secondary: 14H40, 14H51, 14H55, 30F50

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 6 • 2019
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