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arXiv · 1102.5760

The Geometry of T-Varieties

Klaus Altmann·Nathan Owen Ilten·Lars Petersen·Hendrik Süß·Robert Vollmert
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Abstract

This is a survey of the language of polyhedral divisors describing T-varieties. This language is explained in parallel to the well established theory of toric varieties. In addition to basic constructions, subjects touched on include singularities, separatedness and properness, divisors and intersection theory, cohomology, Cox rings, polarizations, and equivariant deformations, among others.

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Klaus Altmann, Nathan Owen Ilten, Lars Petersen, Hendrik Süß, Robert Vollmert. 2011-02-28. The Geometry of T-Varieties. https://doi.org/10.4171/114

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