English Dictionary

algebraic geometry

名詞

可算名詞 不可算名詞

(mathematics) A branch of mathematics that studies algebraic varieties (solution sets of polynomial equations) and their generalisations, using techniques from both algebra (chiefly commutative algebra) and geometry.

日本語の意味

代数幾何学：多項式方程式の解集合（代数多様体）やその一般化を、主に可換環論などの代数学と幾何学の手法を用いて研究する数学の一分野。

After attending the lecture, he became fascinated by algebraic geometry and decided to pursue research in the subject.

講義を受けて彼は多項式方程式の解集合である代数多様体やその一般化を、主に可換代数と幾何学の手法で研究する数学の分野に興味を持ち、その研究を進めることに決めました。

意味（1）

(mathematics) A branch of mathematics that studies algebraic varieties (solution sets of polynomial equations) and their generalisations, using techniques from both algebra (chiefly commutative algebra) and geometry.

The author of an introductory book on algebraic geometry has the difficult task of providing geometrical insight and examples, while at the same time developing the modern technical language of the subject. For in algebraic geometry, a great gap appears to separate the intuitive ideas which form the point of departure from the technical methods used in modern research. The first question is that of language. Algebraic geometry has developed in waves, each with its own language and point of view.

algebraic geometries （ plural ）