Semistability and Hilbert-Kunz multiplicities for curves

DOI10.1016/j.jalgebra.2004.10.016zbMath1094.14024arXivmath/0402245OpenAlexW2062080937MaRDI QIDQ1770450

Vijaylaxmi Trivedi

Publication date: 7 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0402245

zbMATH Keywords

vector bundlesHilbert-Kunz functionprojective curves

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Vector bundles on curves and their moduli (14H60) Singularities of curves, local rings (14H20)

Related Items (23)

Rank-2 syzygy bundles on Fermat curves and an application to Hilbert-Kunz functions ⋮ A remark on Frobenius descent for vector bundles ⋮ An explicit example of Frobenius periodicity ⋮ A direct limit for limit Hilbert-Kunz multiplicity for smooth projective curves ⋮ The Hilbert-Kunz functions of two-dimensional rings of type ADE ⋮ The Hilbert-Kunz multiplicity of an irreducible trinomial ⋮ Frobenius pull backs of vector bundles in higher dimensions ⋮ $F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ Arithmetic behaviour of Frobenius semistability of syzygy bundles for plane trinomial curves ⋮ Syzygy gap fractals. I: Some structural results and an upper bound ⋮ Hilbert-Kunz theory for nodal cubics, via sheaves ⋮ TOWARD HILBERT–KUNZ DENSITY FUNCTIONS IN CHARACTERISTIC 0 ⋮ Hilbert-Kunz functions for irreducible plane curves ⋮ Hilbert-Kunz multiplicity of binoids ⋮ Hilbert-Kunz multiplicity of products of ideals ⋮ The Hilbert–Kunz Function in Graded Dimension Two ⋮ Hilbert-Kunz Multiplicity and Reduction Mod p ⋮ Mason's theorem and syzygy gaps ⋮ Hilbert-Kunz density function and Hilbert-Kunz multiplicity ⋮ Recent results on vector bundles, principal bundles and related topics ⋮ The shape of Hilbert-Kunz functions ⋮ Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz functions ⋮ The rationality of the Hilbert-Kunz multiplicity in graded dimension two

Cites Work

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• On the cohomology groups of moduli spaces of vector bundles on curves
• Hilbert-Kunz functions in a family: Point-\(S_4\) quartics
• Hilbert-Kunz functions in a family: Line-\(S_4\) quartics
• Semi-stability and reduction \(\bmod p\)
• Hilbert-Kunz multiplicity and an inequality between multiplicity and colength
• The Hilbert-Kunz function
• Clifford index of ACM curves in \(\mathbb P^3\)
• Semistable sheaves in positive characteristic
• The gonality of smooth curves with plane models
• On the Hilbert-Kunz function of \(z^D-p_{4}(x,y)\)

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