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Spin structures and branch divisors on $p$-gonal Riemann surfaces

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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… Click to show full 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 anti-holomorphic involutions of Riemann surfaces.

Keywords: structures branch; spin structures; divisors gonal; gonal riemann; riemann surfaces; branch divisors

Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2019

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