Generalizations of Stillman’s Conjecture via Twisted Commutative Algebra

DOI10.1093/imrn/rnz123zbMath1495.13026arXiv1804.09807OpenAlexW2969256921WikidataQ122957667 ScholiaQ122957667MaRDI QIDQ5028241

Daniel Erman, Steven V. Sam, Andrew Snowden

Publication date: 8 February 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.09807

zbMATH Keywords

polynomial functorsSchur functorstwisted commutative algebraStillman's conjecturecone-stabilityGL-equivariant modules over polynomial rings in infinitely many variablesNoetherianity conditionsupper semi-continuous invariants

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Homological conjectures (intersection theorems) in commutative ring theory (13D22) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30)

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Topological Noetherianity of polynomial functors. II: Base rings with Noetherian spectrum, Stillman’s conjecture via generic initial ideals, Big polynomial rings and Stillman's conjecture, Stillman's question for twisted commutative algebras