Polarized Complexity-One T-Varieties

Details Polarized Complexity-One T-Varieties Polarized Complexity-One T-Varieties

2009-10-30

arxiv.org/abs/0910.5919v1

Michigan Math. J. Volume 60, Issue 3 (2011), 561-578

Mathematics

Algebraic Geometry

18 pages, 3 figures

Scientific paper

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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