Diagonal morphism (algebraic geometry)
id:
diagonal-morphism-algebraic-geometry-238-17076003
title:
Diagonal morphism (algebraic geometry)
text:
In algebraic geometry, given a morphism of schemes p : X → S , the diagonal morphism is a morphism determined by the universal property of the fiber product X × S X of p and p applied to the identity 1 X : X → X and the identity 1 X . It is a special case of a graph morphism: given a morphism f : X → Y over S, the graph morphism of it is X → X × S Y induced by f and the identity 1 X . The diagonal embedding is the graph morphism of 1 X . By definition, X is a separated scheme over S if the diago
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Diagonal_morphism_(algebraic_geometry)
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date modified:
2021-09-30T15:46:31Z
main entity:
{"identifier":"Q60794278","url":"https://www.wikidata.org/entity/Q60794278"}
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13
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