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arxiv: 0707.0917 · v1 · submitted 2007-07-06 · 🧮 math.AG

Toroidal embeddings and polyhedral divisors

classification 🧮 math.AG
keywords polyhedraltoroidaldivisorembeddingactionaffinealtmanncompare
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Given an effective action of an (n-1)-dimensional torus on an n-dimensional normal affine variety, Mumford constructs a toroidal embedding, while Altmann and Hausen give a description in terms of a polyhedral divisor on a curve. We compare the fan of the toroidal embedding with this polyhedral divisor.

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