Last Updated :2025/12/04

projective variety

Noun
Japanese Meaning
射影空間における、ホモジニアス多項式の零点集合として定義される、ゼリスキー閉の代数多様体。 / 代数幾何学において、射影空間上の素イデアルを生成するホモジニアス多項式群によって定義される部分多様体。
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研究者は、複素数体上のすべての滑らかな射影空間のザリスキ閉部分多様体が豊かなホッジ構造を持つことを証明した。

plural

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(algebraic geometry) A Zariski closed subvariety of a projective space; the zero-locus of a set of homogeneous polynomials that generates a prime ideal.

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projective variety

The researcher proved that every smooth projective variety over the complex numbers has a rich Hodge structure.

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The researcher proved that every smooth projective variety over the complex numbers has a rich Hodge structure.

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