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arXiv 1997-11-17 0 views

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

Karu, Kalle

Original · EN

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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