\(P\)-fractals and power series. II: Some applications to Hilbert-Kunz theory

DOI10.1016/j.jalgebra.2005.07.033zbMath1104.13010arXivmath/0506584OpenAlexW2159115630MaRDI QIDQ853912

Pedro Teixeira

Publication date: 7 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0506584

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Fractals (28A80) Formal power series rings (13F25)

Related Items (9)

Rationality of Hilbert-Kunz multiplicities: a likely counterexample ⋮ \(F\)-threshold functions: syzygy gap fractals and the two-variable homogeneous case ⋮ Syzygy gap fractals. I: Some structural results and an upper bound ⋮ Hilbert-Kunz functions for irreducible plane curves ⋮ Hilbert-Kunz multiplicity of binoids ⋮ The Hilbert–Kunz Function in Graded Dimension Two ⋮ Hilbert-Kunz functions of \(2\times 2\) determinantal rings ⋮ The shape of Hilbert-Kunz functions ⋮ On the Hilbert-Kunz function of \(z^D-p_{4}(x,y)\)

Cites Work

• Some surprising Hilbert-Kunz functions
• On Hilbert-Kunz functions of some hypersurfaces
• \(p\)-fractals and power series. I: Some 2 variable results
• The Hilbert-Kunz function
• Hilbert-Kunz functions for normal rings
• Mason's theorem and syzygy gaps
• On the Hilbert-Kunz function of \(z^D-p_{4}(x,y)\)

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