Multiplicity bounds in graded rings

DOI10.1215/0023608X-2010-022zbMath1219.13002arXiv0912.3853MaRDI QIDQ531768

Craig Huneke, Shunsuke Takagi, Kei- ichi Watanabe

Publication date: 20 April 2011

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3853

zbMATH Keywords

multiplicitytest idealtight closuregraded ringsplus closureFrobeniusF-thresholdF-pureF-jumping numberF-rational

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Singularities in algebraic geometry (14B05) Integral closure of commutative rings and ideals (13B22) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Multiplier ideals (14F18)

Related Items (7)

On the existence of 𝐹-thresholds and related limits ⋮ Hilbert-Kunz multiplicities and \(F\)-thresholds ⋮ Asymptotic behavior of the socle of Frobenius powers ⋮ Hilbert-Kunz density function for graded domains ⋮ F-Thresholds versusa-Invariants for Standard Graded Toric Rings ⋮ The multiplicity and the number of generators of an integrally closed ideal ⋮ An inequality on diagonalF-thresholds over standard-graded completeintersection rings

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