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Results tagged with algebraic-groups
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user 133871
Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.
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Definition of group scheme [closed]
Consider the definition of group scheme in Stack Project [022R]. In the paragraph following definition 39.4.1, it is said that
We have morphisms of schemes over $S$: (identity) $e:S\rightarrow G$ and …
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Definition of group scheme
You need to use the condition that $m$ is a morphism of scheme. By that we can deduce $G(\cdot)$ is a functor.
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