Last Updated :2025/11/25

projectivization

Noun
Japanese Meaning
ベクトル空間に対して、その対応する射影空間を定める写像または変換の操作。 / 射影空間へ写像するプロセス、すなわち射影化のこと。
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線束を研究するために、しばしばベクトル空間に対応する射影空間を割り当てる写像を考える。これは各零でないベクトルを対応する射影空間の点に対応させる。

plural

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(mathematics, algebraic geometry, birational geometry) A process (more formally, a mapping) that, given a vector space, specifies an associated projective space; (loosely) the projective space so specified.

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projectivization

To study line bundles, we often consider the projectivization of a vector space, which assigns to each nonzero vector a corresponding point in the associated projective space.

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To study line bundles, we often consider the projectivization of a vector space, which assigns to each nonzero vector a corresponding point in the associated projective space.

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