Let $f:X\rightarrow S$ a proper morphism, and $s\in S$ a point. If $S$ is locally Noetherian, then what are the properties of the fibre scheme $X_s$ over the Spec of the residue field at $s$? Is this a Noetherian scheme? Is the dimension always finite?
2026-04-07 11:32:15.1775561535
Fibres of a morphism
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