Last Updated :2025/12/04

group scheme

Noun
Japanese Meaning
スキームの圏における群対象、つまり群の概念を一般化してスキームとして定式化したもの。 / スキームの構造を持ち、群演算(乗法、逆元、単位元)を定義することで群の性質を実現する対象。
What is this buttons?

基底スキーム S 上で、ピカード関手はしばしば平滑で可換なスキームの群対象によって表現されることがある。

plural

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(category theory, scheme theory) A group object that is an object in a category of schemes; a scheme that has certain properties that generalise the concept of group.

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group scheme

Over a base scheme S, the Picard functor can often be represented by a smooth commutative group scheme.

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Over a base scheme S, the Picard functor can often be represented by a smooth commutative group scheme.

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