Completely integrable torus actions on complex manifolds with fixed points

Hiroaki Ishida; Yael Karshon

doi:10.4310/MRL.2012.v19.n6.a9

Completely integrable torus actions on complex manifolds with fixed points

Hiroaki Ishida, Yael Karshon

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We show that if a holomorphic n-dimensional compact torus action on a compact connected complex manifold of complex dimension n has a fixed point then the manifold is equivariantly biholomorphic to a smooth toric variety.

Original language	English
Pages (from-to)	1283-1295
Number of pages	13
Journal	Mathematical Research Letters
Volume	19
Issue number	6
DOIs	https://doi.org/10.4310/MRL.2012.v19.n6.a9
State	Published - 2012
Externally published	Yes

Keywords

Complex manifold
Toric manifold
Torus action

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10.4310/MRL.2012.v19.n6.a9

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abstract = "We show that if a holomorphic n-dimensional compact torus action on a compact connected complex manifold of complex dimension n has a fixed point then the manifold is equivariantly biholomorphic to a smooth toric variety.",

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KW - Torus action

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Completely integrable torus actions on complex manifolds with fixed points

Abstract

Keywords

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