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arxiv: 1906.10870 · v3 · pith:W5BY3VF7new · submitted 2019-06-26 · 🧮 math.AC · math.AG

Small projective spaces and Stillman uniformity for sheaves

classification 🧮 math.AC math.AG
keywords sheavesprojectivesmallstillmantheoremanalogueananyan--hochstercohomology
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We prove an analogue of Ananyan--Hochster's small subalgebra theorem in the context of sheaves on projective space, and deduce from this a version of Stillman's Conjecture for cohomology tables of sheaves. The main tools in the proof are Draisma's GL-noetherianity theorem and the BGG correspondence.

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