Multiple fibers of del Pezzo fibrations

Details Multiple fibers of del Pezzo fibrations Multiple fibers of del Pezzo fibrations

2008-06-24

arxiv.org/abs/0806.3809v1

Proc. Steklov Inst. Math., 2009, 264, 131-145

Mathematics

Algebraic Geometry

19 pages, latex

Scientific paper

We prove that a terminal three-dimensional del Pezzo fibration has no fibers
of multiplicity $\ge 6$. We also obtain a rough classification possible
configurations of singular points on multiple fibers and give some examples.

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