Functor represented by a scheme

id: functor-represented-by-a-scheme-175-14361166
title: Functor represented by a scheme
text: In algebraic geometry, a functor represented by a scheme X is a set-valued contravariant functor on the category of schemes such that the value of the functor at each scheme S is the set of all morphisms S → X. The functor F is then said to be naturally equivalent to the functor of points of X; and the scheme X is said to represent the functor F, and to classify geometric objects over S given by F. A functor producing certain geometric objects over S might be represented by a scheme X. For examp
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original url: https://en.wikipedia.org/wiki/Functor_represented_by_a_scheme
date created: 2015-02-14T14:40:01Z
date modified: 2024-09-03T14:01:34Z
main entity: {"identifier":"Q85762285","url":"https://www.wikidata.org/entity/Q85762285"}
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integrity: 14

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