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arXiv · 1906.10870

Small projective spaces and Stillman uniformity for sheaves

Daniel Erman·Steven V Sam·Andrew Snowden
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Abstract

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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Daniel Erman, Steven V Sam, Andrew Snowden. 2019-06-26. Small projective spaces and Stillman uniformity for sheaves. https://doi.org/10.14231/ag-2021-010

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