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Invariant Spin Structures on Riemann Surfaces

Sadok KallelDenis Sjerve — 2010

Annales de la faculté des sciences de Toulouse Mathématiques

We investigate the action of the automorphism group of a closed Riemann surface of genus at least two on its set of theta characteristics (or spin structures). We give a characterization of those surfaces admitting a non-trivial automorphism fixing either all of the spin structures or just one. The case of hyperelliptic curves and of the Klein quartic are discussed in detail.

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