Last Updated
：2025/12/05
Plücker embedding
Noun
Japanese Meaning
数学における概念。n次元ベクトル空間Vの全k次元部分空間からなるGrassmann多様体Gr_k(V)を、射影空間上の部分多様体として具体的に表現する方法。
（ plural ）
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(mathematics) A method of realizing the Grassmannian Gr_k(V) of all k-dimensional subspaces of an n-dimensional vector space V as a subvariety of a projective space.
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Plücker embedding
The Plücker embedding gives a concrete realization of the Grassmannian Gr_k(V) — the space of k-dimensional subspaces of an n-dimensional vector space V — as a subvariety of a projective space by assigning to each subspace its Plücker coordinates.
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The Plücker embedding gives a concrete realization of the Grassmannian Gr_k(V) — the space of k-dimensional subspaces of an n-dimensional vector space V — as a subvariety of a projective space by assigning to each subspace its Plücker coordinates.
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