On the general elephant conjecture for Mori conic bundles

Details On the general elephant conjecture for Mori conic bundles On the general elephant conjecture for Mori conic bundles

1996-08-05

arxiv.org/abs/alg-geom/9608007v1

Russian Acad. Sci. Sb. Math., 188(11):1665-1685, 1997

Mathematics

Algebraic Geometry

19 pages LaTeX

Scientific paper

Let $f:X\to S$ be an extremal contraction from a threefolds with terminal
singularities onto a surface (so called Mori conic bundle). We study some
particular cases of such contractions: quotients of usual conic bundles and
index two contractions. Assuming Reid's general elephants conjecture we also
obtain a rough classification. We present many examples.

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