Involutions on surfaces with P_g=q=1

• Autores: Carlos Rito
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 61, Fasc. 1, 2010, págs. 81-106
• Idioma: inglés
• DOI: 10.1007/bf03191228
• Enlaces
  • Texto completo
• Resumen

  • In this paper some numerical restrictions for surfaces with an involution are obtained. These formulas are used to study surfaces of general typeS withp_g =q = 1 having an involutioni such thatS/i is a nonruled surface and such that the bicanonical map ofS is not composed withi. A complete list of possibilities is given and several new examples are constructed, as bidouble covers of surfaces. In particular the first example of a minimal surface of general type withp_g =q = 1 andK^2 = 7 having birational bicanonical map is obtained.

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