Small projective spaces and Stillman uniformity for sheaves
Commutative Algebra
2021-06-22 v3 Algebraic Geometry
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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Cite
@article{arxiv.1906.10870,
title = {Small projective spaces and Stillman uniformity for sheaves},
author = {Daniel Erman and Steven V Sam and Andrew Snowden},
journal= {arXiv preprint arXiv:1906.10870},
year = {2021}
}
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15 pages