Semistable reduction in characteristic 0 for families of surfaces and three-folds

Details Semistable reduction in characteristic 0 for families of surfaces and three-folds Semistable reduction in characteristic 0 for families of surfaces and three-folds

1997-11-17

arxiv.org/abs/alg-geom/9711020v1

Mathematics

Algebraic Geometry

AMS-LaTeX, 7 pages

Scientific paper

Let F:X->B be a morphism of varieties in characteristic zero. The problem of
semistable reduction of F was stated as a problem in the combinatorics of
polyhedral complexes by Abramovich and Karu (alg-geom/9707012). In this paper
we solve the combinatorial problem when the relative dimension of F is not
bigger than 3.

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