Generalized \(F\)-signature of invariant subrings

DOI10.1016/j.jalgebra.2015.06.039zbMath1329.13010arXiv1311.5963OpenAlexW1151268408MaRDI QIDQ497709

Yusuke Nakajima, Mitsuyasu Hashimoto

Publication date: 25 September 2015

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

Full work available at URL: https://arxiv.org/abs/1311.5963

zbMATH Keywords

invariant subrings\(F\)-signaturefinite \(F\)-representation type

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (9)

The asymptotic behavior of Frobenius direct images of rings of invariants ⋮ Dual \(F\)-signature of Cohen-Macaulay modules over rational double points ⋮ Generalized \(F\)-signatures of the rings of invariants of finite group schemes ⋮ F-signature function of quotient singularities ⋮ Dual \(F\)-signature of special Cohen-Macaulay modules over cyclic quotient surface singularities ⋮ The symmetric signature of cyclic quotient singularities ⋮ Generalized \(F\)-signatures of Hibi rings ⋮ The symmetric signature ⋮ \(F\)-rationality of the ring of modular invariants

Cites Work

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• \(F\)-signature exists
• Minimal relative Hilbert-Kunz multiplicity
• The \(F\)-signature and strong \(F\)-regularity.
• Two theorems about maximal Cohen-Macaulay modules
• Tilting and cluster tilting for quotient singularities
• Noncommutative resolution, F-blowups and \(D\)-modules
• Observations on the \(F\)-signature of local rings of characteristic \(p\)
• Rational Singularities and Almost Split Sequences
• Simplicity of Rings of Differential Operators in Prime Characteristic
• MODULES WITH FINITE $F$-REPRESENTATION TYPE

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