The Geometry of T-Varieties

Details The Geometry of T-Varieties The Geometry of T-Varieties

2011-02-28

arxiv.org/abs/1102.5760v2

Mathematics

Algebraic Geometry

42 pages, 17 figures. v2: minor changes following the referee's suggestions

Scientific paper

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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