Publications of the Research Institute for Mathematical Sciences

On $\QQ$-Conic Bundles, III

Shigefumi Mori and Yuri Prokhorov

Source: Publ. Res. Inst. Math. Sci. Volume 45, Number 3 (2009), 787-810.

Abstract

A $\mathbb Q$-conic bundle germ is a proper morphism from a threefold with only terminal singularities to the germ $(Z \ni o)$ of a normal surface such that fibers are connected and the anti-canonical divisor is relatively ample. Building upon our previous paper, we prove the existence of a Du Val anti-canonical member under the assumption that the central fiber is irreducible.

Related Works:

Primary Subjects: 14J30, 14E35, 14E30

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.prims/1249478965
Digital Object Identifier: doi:10.2977/prims/1249478965
Zentralblatt MATH identifier: 05625039


2009 © Research Institute for Mathematical Sciences

Publications of the Research Institute for Mathematical Sciences

Publications of the Research Institute for Mathematical Sciences