Last Updated
：2025/12/05
Klein quadric
Noun
Japanese Meaning
数学分野の用語として、3次元射影空間の各直線を5次元射影空間上の一点と見なし、その各点が集合する双曲型二次曲面（Klein quadric）を指す。
（ plural ）
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(mathematics) The lines of a 3-dimensional projective space, S, can be viewed as points of a 5-dimensional projective space, T. In that 5-space, the points that represent each line in S lie on a hyperbolic quadric, Q, known as the Klein quadric.
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Klein quadric
When studying the correspondence between lines in projective three-space and points in projective five-space, one often examines the Klein quadric to understand their incidence relations.
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When studying the correspondence between lines in projective three-space and points in projective five-space, one often examines the Klein quadric to understand their incidence relations.
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