On theta characteristics of a compact Riemann surface

• Autores: Indranil Biswas , Siddhartha Gadgil, Parameswaran Sankaran
• Localización: Bulletin des Sciences Mathématiques, ISSN 0007-4497, Vol. 131, Nº. 5, 2007, págs. 493-499
• Idioma: inglés
• DOI: 10.1016/j.bulsci.2007.02.001
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• Resumen

  • Let o be a nontrivial automorphism of a compact connected Riemann surface X of genus at least two. Assume that s fixes each of the theta characteristics of X. We prove that X is hyperelliptic, and s is the unique hyperelliptic involution of X.