On Q-conic bundles, II

Details On Q-conic bundles, II On Q-conic bundles, II

2007-10-03

arxiv.org/abs/0710.0792v1

Publ. Res. Inst. Math. Sci., 2008, 44, 955-971

Mathematics

Algebraic Geometry

16 pages, LaTeX

Scientific paper

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. We obtain the complete classification of $\mathbb Q$-conic bundle germs when the base surface germ is singular. This is a generalization of our previous paper math/0603736, which further assumed that the fiber over $o$ is irreducible.

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