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arXiv · 1310.4205

Standard and Weierstrass spin groups on hyperelliptic Riemann surfaces

K. M. Bugajska
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Abstract

We show that at any standard or Weierstrass point P on a hyperelliptic Riemann surface S equipped with a nonsingular even spin structure, we may attach a spin group G(P) in a natural way. All such spin groups are isomorphic to each other and to the alternating group A(g)<S(g). Moreover, for any two vertices of the same spin graph we construct a natural, unique isomorphism between the corresponding, mutually conjugate spin groups.

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K. M. Bugajska. 2013-10-15. Standard and Weierstrass spin groups on hyperelliptic Riemann surfaces. https://arxiv.org/abs/1310.4205

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