\(F\)-threshold functions: syzygy gap fractals and the two-variable homogeneous case

DOI10.1016/j.jsc.2016.07.003zbMath1361.13001arXiv1404.5871OpenAlexW2963009153MaRDI QIDQ346557

Pedro Teixeira, Daniel J. Hernández

Publication date: 29 November 2016

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5871

zbMATH Keywords

\(F\)-pure threshold\(F\)-thresholdMacaulay2syzygy gap

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to commutative algebra (13-04) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Software, source code, etc. for problems pertaining to algebraic geometry (14-04)

Related Items (2)

Lower bounds on the F-pure threshold and extremal singularities ⋮ Frobenius powers of some monomial ideals

Uses Software

• Macaulay2
• PosChar

Cites Work

• \(F\)-pure thresholds of homogeneous polynomials
• On the constancy regions for mixed test ideals
• Syzygy gap fractals. I: Some structural results and an upper bound
• Discreteness and rationality of \(F\)-thresholds
• \(P\)-fractals and power series. II: Some applications to Hilbert-Kunz theory
• \(p\)-fractals and power series. I: Some 2 variable results
• On F-pure thresholds
• The \(F\)-pure threshold of a Calabi-Yau hypersurface
• \(F\)-purity of hypersurfaces
• Mason's theorem and syzygy gaps
• $F$-thresholds of hypersurfaces
• A generalization of tight closure and multiplier ideals
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