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arxiv: 0912.5461 · v2 · pith:GHJDWMB4new · submitted 2009-12-30 · 🧮 math.AG · math.CO

Wonderful models for toric arrangements

classification 🧮 math.AG math.CO
keywords modeltoricarrangementssetssmoothwonderfulallowsanalog
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We build a wonderful model for toric arrangements. We develop the "toric analog" of the combinatorics of nested sets, which allows to define a family of smooth open sets covering the model. In this way we prove that the model is smooth, and we give a precise geometric and combinatorial description of the normal crossing divisor.

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