最終更新日：2025/11/26

Dictionary quizzes to help you remember vocabulary

Dictionary quizzes to help you remember vocabulary

(algebraic geometry) Originally, a topology applicable to algebraic varieties, such that the closed sets are the variety's algebraic subvarieties; later, a generalisation in which the topological space is the set of prime ideals of a commutative ring and is called the spectrum of the ring.

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Zariski topology

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元となった辞書の項目

Zariski topology

(algebraic geometry) Originally, a topology applicable to algebraic varieties, such that the closed sets are the variety's algebraic subvarieties; later, a generalisation in which the topological space is the set of prime ideals of a commutative ring and is called the spectrum of the ring.

日本語の意味

ザリスキー位相：元々は代数幾何学において代数多様体に適用される位相で、閉集合がその多様体の代数的部分多様体となるもの。 / ザリスキー位相：後に一般化され、可換環の素イデアル全体を位相空間（スペクトル）として捉えるもの。

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When exploring intersections of algebraic sets, the counterintuitive notion of closeness in the Zariski topology often surprises students.

Google翻訳 / DeepL翻訳

代数集合の交点を調べると、閉集合が代数部分多様体であるような多様体上の位相（ザリスキ位相）における直感に反する「近さ」の概念は学生を驚かせることが多い。

意味（1）

(algebraic geometry) Originally, a topology applicable to algebraic varieties, such that the closed sets are the variety's algebraic subvarieties; later, a generalisation in which the topological space is the set of prime ideals of a commutative ring and is called the spectrum of the ring.

Google翻訳 / DeepL翻訳

Zariski topologies

（ plural ）

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