Topological Noetherianity of polynomial functors

DOI10.1090/jams/923zbMath1439.13044arXiv1705.01419OpenAlexW2963515582WikidataQ128231663 ScholiaQ128231663MaRDI QIDQ5227284

Jan Draisma

Publication date: 25 July 2019

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01419

zbMATH Keywords

twisted commutative algebrasZariski-topologyStillman's conjecturelinear coordinate transformationsasymptotic commutative algebra

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Determinantal varieties (14M12) Commutative Noetherian rings and modules (13E05) Multilinear algebra, tensor calculus (15A69)

Related Items (21)

The set of forms with bounded strength is not closed ⋮ Universality of high-strength tensors ⋮ A Gap in the Subrank of Tensors ⋮ Universal lex ideal approximations of extended Hilbert functions and Hamilton numbers ⋮ The spectrum of a twisted commutative algebra ⋮ Sur la noethérianité locale des foncteurs polynomiaux ⋮ Strength conditions, small subalgebras, and Stillman bounds in degree ≤4 ⋮ MFO-RIMS tandem workshop: Symmetries on polynomial ideals and varieties. Abstracts from the MFO-RIMS tandem workshop held September 5--11, 2021 (hybrid meeting) ⋮ Topological Noetherianity of polynomial functors. II: Base rings with Noetherian spectrum ⋮ Stillman’s conjecture via generic initial ideals ⋮ Topology of arrangements and representation stability. Abstracts from the workshop held January 14--20, 2018 ⋮ Big polynomial rings with imperfect coefficient fields ⋮ Noetherian properties in representation theory ⋮ Rationality of equivariant Hilbert series and asymptotic properties ⋮ FI- and OI-modules with varying coefficients ⋮ Polynomials and tensors of bounded strength ⋮ Big polynomial rings and Stillman's conjecture ⋮ Noetherianity up to conjugation of locally diagonal inverse limits ⋮ Topological noetherianity for algebraic representations of infinite rank classical groups ⋮ Components of symmetric wide-matrix varieties ⋮ Stillman's question for twisted commutative algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Noetherianity of some degree two twisted commutative algebras
• Equations for secant varieties of Veronese and other varieties
• Finiteness properties of congruence classes of infinite-by-infinite matrices
• Ideals of bounded rank symmetric tensors are generated in bounded degree
• Open problems on syzygies and Hilbert functions
• Lifting Markov bases and higher codimension toric fiber products
• Finiteness for the \(k\)-factor model and chirality varieties
• Young diagrams and ideals of Pfaffians
• Cohomology of finite group schemes over a field
• Topological noetherianity for cubic polynomials
• Plücker varieties and higher secants of Sato's Grassmannian
• Markov random fields and iterated toric fibre products
• On the ideals of secant varieties of Segre varieties
• Syzygies of Segre embeddings and \(\Delta\)-modules
• Secant varieties of Segre-Veronese varieties
• Big polynomial rings and Stillman's conjecture
• FI-modules and stability for representations of symmetric groups
• Ideals generated by quadratic polynomials
• Syzygies of bounded rank symmetric tensors are generated in bounded degree
• Representation stability and finite linear groups
• Bounded-rank tensors are defined in bounded degree
• GL-equivariant modules over polynomial rings in infinitely many variables
• Gröbner methods for representations of combinatorial categories
• Finite generation of symmetric ideals
• Small subalgebras of polynomial rings and Stillman’s Conjecture
• Polynomials and tensors of bounded strength
• Stillman’s conjecture via generic initial ideals

This page was built for publication: Topological Noetherianity of polynomial functors