Extending Triangulations and Semistable Reduction
classification
🧮 math.AG
math.CO
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semistablecomplexreductionresultabramovichalg-geomcodimensionextended
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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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