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Questions tagged [abstract-nonsense]

Arguments working entirely at a high level of abstraction, particularly category-theoretic arguments.

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If the direct image of f preserves coherent sheaves on noetherian schemes, how to show f is proper?

The other direction is well known. I think it is true and I was told by several other guys doing algebraic geometry that it is indeed true but they did not know how to prove. I am also wondering ...
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