Extending Triangulations and Semistable Reduction

Mathematics – Algebraic Geometry

Scientific paper

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8 pages

Scientific paper

We show that a projective triangulation of a subcomplex of a polyhedral
complex can be extended to the whole complex. As a result, we show that the
weak semistable reduction result of Abramovich - Karu alg-geom/9707012 can be
refined, so that the resulting morphism is semistable in codimension 1.

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