Castelnuovo-Mumford regularity and the discreteness of $F$-jumping coefficients in graded rings

DOI10.1090/S0002-9947-2014-05918-7zbMath1296.13004arXiv1110.2093MaRDI QIDQ5420124

Wenliang Zhang, Mordechai Katzman

Publication date: 11 June 2014

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

Full work available at URL: https://arxiv.org/abs/1110.2093

zbMATH Keywords

Castelnuovo-Mumford regularity\(F\)-finiteness\(F\)-jumping coefficientgauge bound

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (8)

On the existence of 𝐹-thresholds and related limits ⋮ The Frobenius exponent of Cartier subalgebras ⋮ On arbitrarily graded rings ⋮ Discreteness of 𝐹-jumping numbers at isolated non-ℚ-Gorenstein points ⋮ Complexity of gauge bounded Cartier algebras ⋮ Local cohomology and Lyubeznik numbers of \(F\)-pure rings ⋮ \(F\)-invariants of Stanley-Reisner rings ⋮ On asymptotic socle degrees of local cohomology modules

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discreteness and rationality of \(F\)-thresholds
• \(F\)-pure thresholds and \(F\)-jumping exponents in dimension two
• Discreteness and rationality of \(F\)-jumping numbers on singular varieties
• The complexity of Frobenius powers of ideals
• Test ideals via a single alteration and discreteness and rationality of \(F\)-jumping numbers
• On the discreteness and rationality of \(F\)-jumping coefficients
• Rings of Frobenius operators
• Test ideals in non-$\mathbb{Q}$-Gorenstein rings
• A note on discreteness of 𝐹-jumping numbers
• $F$-thresholds of hypersurfaces
• F-Purity and Rational Singularity
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• The Geometry of Syzygies
• A generalization of tight closure and multiplier ideals
• Test ideals via algebras of 𝑝^{-𝑒}-linear maps
• The regularity of Tor and graded Betti Numbers

This page was built for publication: Castelnuovo-Mumford regularity and the discreteness of $F$-jumping coefficients in graded rings