Math 2.0

Algebraic geometry Schemes Concept

Quasi-compact morphism

Summary

A quasi-compact morphism of schemes is one for which the preimage of every open affine subscheme is quasi-compact. Quasi-compact means that every open cover has a finite subcover; no Hausdorff condition is asked. It is a finiteness condition on a morphism of schemes. It is part of the definition of morphisms of finite type and of proper morphisms.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Quasi-compact_morphism
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Tag41009J4M5D
URIm2://41009J4M5D
Kindconcept
WritingW0 stub
MSC14A15
SpecializesMorphism of schemes
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