The Picard index of a surface with torus action

• Springer, Justus ^[1]
  1. [1] University of Tübingen

     University of Tübingen

     Landkreis Tübingen, Alemania

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 76, Fasc. 3, 2025, págs. 515-544
• Idioma: inglés
• DOI: 10.1007/s13348-024-00443-x
• Enlaces
  • Texto completo
• Resumen

  • We consider normal rational projective surfaces with torus action and provide a formula for their Picard index, that means the index of the Picard group inside the divisor class group. As an application, we classify the log del Pezzo surfaces with torus action of Picard number one up to Picard index 10 000.

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