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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

1. The individual morphisms $f_i$ are not usually faithfully flat – any faithfully flat morphism is surjective. I think they are also not quasicompact in general. See the definition of fpqc cover in the stacks project:

https://stacks.math.columbia.edu/tag/01K2

Anonymous