On -Conic Bundles, III
Shigefumi Mori
Kyoto University, JapanYuri Prokhorov
Moscow State University, Russian Federation
Abstract
A -conic bundle germ is a proper morphism from a threefold with only terminal singularities to the germ of a normal surface such that fibers are connected and the anti-canonical divisor is relatively ample. Building upon our previous paper [MP08a], we prove the existence of a Du Val anti-canonical member under the assumption that the central fiber is irreducible.
Cite this article
Shigefumi Mori, Yuri Prokhorov, On -Conic Bundles, III. Publ. Res. Inst. Math. Sci. 45 (2009), no. 3, pp. 787–810
DOI 10.2977/PRIMS/1249478965