Math 2.0

Algebraic geometry Schemes Concept

Finite morphism

Summary

A finite morphism X→YX \to Y of schemes is affine over YY. Over each affine piece Spec⁡B\operatorname{Spec} B of YY, it comes from a BB-algebra that is a finitely generated BB-module. It is the scheme version of a finite morphism of rings. Finite morphisms have finite fibers and are closed maps; branched covers of curves are typical examples.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Finite_morphism
About this page
TagN9C4X7XKE4
URIm2://N9C4X7XKE4
Kindconcept
WritingW0 stub
MSC14A15
SpecializesAffine morphism, Morphism of finite type
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