theorem of the cube (Q7782346)
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algebraic geometry theorem that, for any complete varieties U, V and W over an algebraically closed field, given points u, v and w on them, any invertible sheaf which has a trivial restriction to each of U×V×{w}, U×{v}×W and {u}×V×W is itself trivial
Language | Label | Description | Also known as |
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English | theorem of the cube |
algebraic geometry theorem that, for any complete varieties U, V and W over an algebraically closed field, given points u, v and w on them, any invertible sheaf which has a trivial restriction to each of U×V×{w}, U×{v}×W and {u}×V×W is itself trivial |
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- enwiki Theorem of the cube