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

Kalle Karu
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Abstract

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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Kalle Karu. 1997-11-17. Semistable reduction in characteristic 0 for families of surfaces and three-folds. https://arxiv.org/abs/alg-geom/9711020

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