Equivariant algebraic and semi-algebraic geometry of infinite affine space

DOI10.1016/J.JALGEBRA.2024.11.016MaRDI QIDQ6668533

Mario Kummer, Cordian Riener

Publication date: 22 January 2025

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

semi-algebraic setsnoetherianity up to symmetryinfinite polynomial ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Semialgebraic sets and related spaces (14P10)

Cites Work

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• Finiteness for the \(k\)-factor model and chirality varieties
• Plücker varieties and higher secants of Sato's Grassmannian
• Components of symmetric wide-matrix varieties
• Asymptotic behavior of symmetric ideals: a brief survey
• Big polynomial rings and Stillman's conjecture
• FI-modules and stability for representations of symmetric groups
• Equivariant Hilbert series in non-Noetherian polynomial rings
• On the laws of a metabelian variety
• Finite generation of symmetric ideals
• Castelnuovo–Mumford Regularity up to Symmetry
• Codimension and projective dimension up to symmetry
• Topological Noetherianity of polynomial functors
• Prime Ideal Structure in Commutative Rings
• Hilbert's Nullstellensatz in Infinite-Dimensional Space

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