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arXiv · 0809.0489

On Q-conic bundles, III

Shigefumi Mori·Yuri Prokhorov
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Abstract

A 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 [math/0603736], we prove the existence of a Du Val anti-canonical member under the assumption that the central fiber is irreducible.

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Shigefumi Mori, Yuri Prokhorov. 2008-09-02. On Q-conic bundles, III. https://arxiv.org/abs/0809.0489

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