On the Castelnuovo-Mumford regularity of rings of polynomial invariants

DOI10.4007/annals.2011.174.1.14zbMath1235.13005OpenAlexW2158338703MaRDI QIDQ640792

Peter Symonds

Publication date: 20 October 2011

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2011.174.1.14

zbMATH Keywords

ring of invariantspolynomial ringCastelnuovo-Mumford regularityresolution

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (18)

On the Castelnuovo-Mumford regularity of the cohomology ring of a group ⋮ Invariant theory of Artin-Schelter regular algebras: a survey ⋮ Symmetric powers and modular invariants of elementary abelian \(p\)-groups ⋮ Group actions on rings and the Čech complex ⋮ Coinvariants and the regular representation of a cyclic \(P\)-group ⋮ A degree bound for rings of arithmetic invariants ⋮ Positivity and nonstandard graded Betti numbers ⋮ Minimal degrees of invariants of (super)groups – a connection to cryptology ⋮ On the Hilbert series of Hochschild cohomology of block algebras. ⋮ The second main theorem vector for the modular regular representation of \(C_2\) ⋮ On generators of the Hilbert ideal for cyclic groups in modular invariant theory ⋮ Public-key cryptosystem based on invariants of diagonalizable groups ⋮ Rings of invariants for modular representations of the Klein four group ⋮ Vector invariants for two-dimensional orthogonal groups over finite fields ⋮ Stanley’s invariant theory survey ⋮ On the Noether bound for noncommutative rings ⋮ Degree bounds for Hopf actions on Artin-Schelter regular algebras ⋮ Finite groups with large Noether number are almost cyclic

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