Hilbert-Kunz functions of \(2\times 2\) determinantal rings
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Publication:2509823
zbMath1308.13026arXiv1206.1015MaRDI QIDQ2509823
Lance Edward Miller, Irena Swanson
Publication date: 30 July 2014
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.1015
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)
Related Items
F-signature function of quotient singularities ⋮ The 𝑠-multiplicity function of 2×2-determinantal rings ⋮ The shape of Hilbert-Kunz functions
Cites Work
- Rationality of Hilbert-Kunz multiplicities: a likely counterexample
- \(P\)-fractals and power series. II: Some applications to Hilbert-Kunz theory
- Some surprising Hilbert-Kunz functions
- Multiplicity and Hilbert-Kunz multiplicity of monoid rings.
- Hilbert-Kunz function of monomial ideals and binomial hypersurfaces
- The Hilbert-Kunz function
- Hilbert--Kunz functions and multiplicities for full flag varieties and elliptic curves.
- Hilbert-Kunz functions for normal rings
- Hilbert-Kunz theory for nodal cubics, via sheaves
- Ideals of generic minors
- On Noetherian Rings of Characteristic p
- Notes on Hilbert-Kunz Multiplicity of Rees Algebras