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Extending Triangulations and Semistable Reduction

D. Abramovich·J. M. Rojas
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Abstract

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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D. Abramovich, J. M. Rojas. 1998-04-09. Extending Triangulations and Semistable Reduction. https://arxiv.org/abs/math/9804058

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