Hilbert-Kunz density functions and \(F\)-thresholds
From MaRDI portal
Publication:2214137
DOI10.1016/j.jalgebra.2020.09.025zbMath1457.13012arXiv1808.04093OpenAlexW3090069257MaRDI QIDQ2214137
Kei- ichi Watanabe, Vijaylaxmi Trivedi
Publication date: 4 December 2020
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.04093
Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
Related Items (6)
Hilbert-Kunz density function of tensor product and Fourier transformation ⋮ The Hilbert-Kunz density functions of quadric hypersurfaces ⋮ Hilbert-Kunz density function for graded domains ⋮ \(\beta\)-density function on the class group of projective toric varieties ⋮ \(F\)-thresholds \(c^I (\mathbf{m})\) for projective curves ⋮ The shape of Hilbert-Kunz functions
Cites Work
- Unnamed Item
- Unnamed Item
- On the degrees of relations on \(x_1^{d_1}, \dots, x_n^{d_n},(x_1 + \dots + x_n)^{d_{n + 1}}\) in positive characteristic
- Discreteness and rationality of \(F\)-thresholds
- F-thresholds, tight closure, integral closure, and multiplicity bounds
- The Hilbert-Kunz multiplicity of an irreducible trinomial
- \(F\)-pure thresholds and \(F\)-jumping exponents in dimension two
- Openness of a family of torsion free sheaves
- Some surprising Hilbert-Kunz functions
- Tight closure in graded rings
- \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands
- The Hilbert-Kunz function
- On F-pure thresholds
- Semistable sheaves in positive characteristic
- Nondiscreteness of \(F\)-thresholds
- \(F\)-thresholds \(c^I (\mathbf{m})\) for projective curves
- Arithmetic behaviour of Frobenius semistability of syzygy bundles for plane trinomial curves
- On the discreteness and rationality of \(F\)-jumping coefficients
- Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
- $F$-thresholds of hypersurfaces
- F-Regularity, Test Elements, and Smooth Base Change
- On the existence of 𝐹-thresholds and related limits
- Hilbert-Kunz density function and Hilbert-Kunz multiplicity
- Stable vector bundles and the frobenius morphism
- A generalization of tight closure and multiplier ideals
- TOWARD HILBERT–KUNZ DENSITY FUNCTIONS IN CHARACTERISTIC 0
- F-Thresholds versusa-Invariants for Standard Graded Toric Rings
- Hilbert-Kunz Multiplicity and Reduction Mod p
- Diagonal F-thresholds and F-pure Thresholds of Hibi Rings
This page was built for publication: Hilbert-Kunz density functions and \(F\)-thresholds