Unramified morphism
id:
unramified-morphism-268-7584936
title:
Unramified morphism
text:
In algebraic geometry, an unramified morphism is a morphism f : X → Y of schemes such that (a) it is locally of finite presentation and (b) for each x ∈ X and y = f , we have that The residue field k is a separable algebraic extension of k . f # O x , X = m x , where f # : O y , Y → O x , X and m y , m x are maximal ideals of the local rings. A flat unramified morphism is called an étale morphism. Less strongly, if f satisfies the conditions when restricted to sufficiently small neighborhoods of
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Unramified_morphism
date created:
date modified:
2023-08-12T20:47:16Z
main entity:
{"identifier":"Q85812355","url":"https://www.wikidata.org/entity/Q85812355"}
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13
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