It is well known that fibre product of noetherian schemes may not be noetherian. The inverse image of a coherent sheaf is coherent provided the domain is locally noetherian and codomain is noetherian. So my question has to do with the inverse image of coherent sheaves. Is it true that fibre product of noetherian schemes over a noetherian base is locally noetherian?
2026-04-08 12:36:23.1775651783
Fibre product of noetherian schemes
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