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The Serre-Grothendieck Finiteness Theorem for the cohomology of coherent sheaves

Sanders, Beren
arXiv (All) · Papers
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algebraic-geometry
We prove the converse of the Serre-Grothendieck finiteness theorem for the cohomology of coherent sheaves, originally due to Lipman. This result characterizes proper morphisms as those morphisms whose derived pushforward preserves pseudo-coherent complexes. Although the derived pushforward does not
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