In Algebraic Geometry
There is also corresponding notion of unramified morphism in algebraic geometry. It serves to define étale morphisms.
Let be a morphism of schemes. The support of the quasicoherent sheaf is called the ramification locus of and the image of the ramification locus, is called the branch locus of . If we say that is formally unramified and if is also of locally finite presentation we say that is unramified .
Read more about this topic: Ramification
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