Asymptotic behavior of the socle of Frobenius powers

zbMath1304.13008arXiv1204.2338MaRDI QIDQ405412

Jinjia Li

Publication date: 5 September 2014

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

Full work available at URL: https://arxiv.org/abs/1204.2338

zbMATH Keywords

Hilbert-Kunz multiplicity\(F\)-pure\(F\)-tresholdsyzygy bundletop socle degree

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Vector bundles on curves and their moduli (14H60) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (4)

Rank-2 syzygy bundles on Fermat curves and an application to Hilbert-Kunz functions ⋮ On the existence of 𝐹-thresholds and related limits ⋮ An inequality on diagonalF-thresholds over standard-graded completeintersection rings ⋮ F-THRESHOLDS OF GRADED RINGS

Cites Work

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• Discreteness and rationality of \(F\)-thresholds
• The Hilbert-Kunz multiplicity of an irreducible trinomial
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• The Hilbert-Kunz function
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• A note on the weak Lefschetz property of monomial complete intersections in positive characteristic
• A linear bound for Frobenius powers and an inclusion bound for tight closure
• Mason's theorem and syzygy gaps
• There is no Bogomolov type restriction theorem for strong semistability in positive characteristic
• On a Problem of Miyaoka

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