Last Updated :2025/12/04

group functor

Noun
Japanese Meaning
(カテゴリ理論や代数幾何学の文脈における)関手の対象としての群。すなわち、ある関手が特定の性質(群の性質の一般化)を満たすことにより、群の概念を抽象化したもの。 / 群の対象が functor の形で現れることで、通常の群の構造が関手の言葉で表現される概念。
What is this buttons?

そのモジュリ問題は各試験スキーム上の対象の自己同型を捉える群値関手によって表現される。

plural

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(category theory, algebraic geometry) A group object that is an object in a category of functors; a functor with certain properties that generalise the concept of group.

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group functor

The moduli problem is represented by a group functor that captures the automorphisms of objects over each test scheme.

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The moduli problem is represented by a group functor that captures the automorphisms of objects over each test scheme.

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