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Torus action

In algebraic geometry, a torus action on an algebraic variety is a group action of an algebraic torus on the variety. A variety equipped with an action of a torus T is called a T-variety. In differential geometry, one considers an action of a real or complex torus on a manifold (or an orbifold).

Linear action of a torus, Białynicki-Birula decomposition & Overview

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Linear action of a torus

Białynicki-Birula decomposition

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Torus action

Nodes21
Edges20
Triples0
Avg. degree1.9
Density0.095238
Components1

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action torus displaystyle algebraic variety decomposition called example geometry chi one linear field sum group t-variety acting białynicki-birula see manifold

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