Last Updated:2025/12/05
Sentence

プルッカー埋め込みは、n次元ベクトル空間Vのk次元部分空間全体からなるグラスマン多様体Gr_k(V)を、各部分空間にプルッカー座標を対応させることによって射影空間の部分多様体として具体的に実現する方法を与える。

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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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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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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。
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プルッカー埋め込みは、n次元ベクトル空間Vのk次元部分空間全体からなるグラスマン多様体Gr_k(V)を、各部分空間にプルッカー座標を対応させることによって射影空間の部分多様体として具体的に実現する方法を与える。

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plural

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