JournalsprimsVol. 44 , No. 3DOI 10.2977/prims/1216238307

On ℚ-conic Bundles, II

  • Shigefumi Mori

    Kyoto University, Japan
  • Yuri Prokhorov

    Moscow State University, Russian Federation
On ℚ-conic Bundles, II cover


A ℚ-conic bundle germ is a proper morphism from a threefold with only terminal singularities to the germ (Z_∌_o) of a normal surface such that fibers are connected and the anti-canonical divisor is relatively ample. We obtain the complete classification of ℚ-conic bundle germs when the base surface germ is singular. This is a generalization of [MP08], which further assumed that the fiber over o is irreducible.