About: Sumihiro's theorem

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In algebraic geometry, Sumihiro's theorem, introduced by, states that a normal algebraic variety with an action of a torus can be covered by torus-invariant affine open subsets. The "normality" in the hypothesis cannot be relaxed. The hypothesis that the group acting on the variety is a torus can also not be relaxed.

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  • In algebraic geometry, Sumihiro's theorem, introduced by, states that a normal algebraic variety with an action of a torus can be covered by torus-invariant affine open subsets. The "normality" in the hypothesis cannot be relaxed. The hypothesis that the group acting on the variety is a torus can also not be relaxed. (en)
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  • In algebraic geometry, Sumihiro's theorem, introduced by, states that a normal algebraic variety with an action of a torus can be covered by torus-invariant affine open subsets. The "normality" in the hypothesis cannot be relaxed. The hypothesis that the group acting on the variety is a torus can also not be relaxed. (en)
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  • Sumihiro's theorem (en)
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