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Characterization of effective descent morphism

MathOverflow Asked by Kind Bubble on December 18, 2021

A faithfully flat morphism of commutative rings $A rightarrow B$ is an effective descent morphism. So is a regular monomorphism (right?). What is a characterization of effective descent morphisms?

Secondly, what are some reasons to work with the flat topology rather than the topology of effective descent morphisms? I am new to this, but is it not the case that faithfully flat is very similar to being an effective descent morphism?

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