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arxiv: 0910.5919 · v1 · pith:ZRGTLZCVnew · submitted 2009-10-30 · 🧮 math.AG

Polarized Complexity-One T-Varieties

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keywords complexity-onet-varietiespolarizeddescribedivisorialaffinecombinatoriallycompare
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We describe polarized complexity-one T-varieties combinatorially in terms of so-called divisorial polytopes, and show how geometric properties of such a variety can be read off the corresponding divisorial polytope. We compare our description with other possible descriptions of polarized complexity-one T-varieties. We also describe how to explicitly find generators of affine complexity-one T-varieties.

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