English Dictionary

arithmetic geometry

名詞

不可算名詞

(mathematics) A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory, in particular being concerned with schemes of finite type over the spectrum of the ring of integers, Spec(ℤ).

日本語の意味

整数論に代数幾何学の手法を応用する数学の分野。特に、整数環のスペクトル（Spec(ℤ)）上の有限型スキームに関連する研究を扱う。

Recent advances in arithmetic geometry have provided powerful tools for solving long-standing problems in number theory.

算術幾何学の最近の進展は、数論における長年の問題を解くための強力な手段を提供してきた。

意味（1）

(mathematics) A developing branch of mathematics in which techniques of algebraic geometry are applied to number theory, in particular being concerned with schemes of finite type over the spectrum of the ring of integers, Spec(ℤ).

This book resulted from a research conference in arithmetic geometry held at Arizona State University in March 1993.