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A note on a theorem of Xiao Gang

  • Autores: Margarida Mendes Lopes Árbol académico
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 55, Fasc. 1, 2004, págs. 33-36
  • Idioma: inglés
  • Enlaces
  • Resumen
    • In 1985 Xiao Gang proved that the bicanonical system of a complex surface S of general type with $p2(S) > 2$ is not composed of a pencil ([8]). In this note a new proof of this theorem is presented.

  • Referencias bibliográficas
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    • F. Catanese and C. Ciliberto, On the irregularity of cyclic coverings of algebraic surfaces, Geometry of complex projective varieties (Cetraro,...
    • M. Chen and E. Viehweg, Bicanonical and adjoint linear systems on surfaces of general type, preprint 2003: math.AG/0212362.
    • C. Ciliberto, The bicanonical map for surfaces of general type, Proc. Sympos. Pure Math. 62 (1997), 57–84.
    • M. De Franchis, Sugl’integrali di Picard relativi a una superficie doppia, Rend. Circ. Mat. Palermo, X (1905), 331–334.
    • M. Mendes Lopes and R. Pardini, A connected component of the moduli space of surfaces with $p\_g = 0$, Topology 40 (2001), 977–991.
    • G. Xiao, Finitude de l’application bicanonique des surfaces de type général, Bull. Soc. Math. France 113 (1985), 23–51.
    • G. Xiao, Surfaces Fibrées en Courbes de Genre Deux, Lecture Notes in Mathematics 1137, Springer-Verlag, Berlin, 1985.

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