\(p\)-fractals and power series. I: Some 2 variable results

DOI10.1016/j.jalgebra.2004.05.016zbMath1082.13016OpenAlexW1976887880MaRDI QIDQ1763899

Pedro Teixeira

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.05.016

zbMATH Keywords

characteristic \(p\)power series ringHilbert-Kunz function\(p\)-fractals

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Fractals (28A80) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Formal power series rings (13F25) Power series rings (13J05) Formally (p)-adic fields (12J12)

Related Items (11)

Rationality of Hilbert-Kunz multiplicities: a likely counterexample ⋮ \(P\)-fractals and power series. II: Some applications to Hilbert-Kunz theory ⋮ \(F\)-threshold functions: syzygy gap fractals and the two-variable homogeneous case ⋮ On the constancy regions for mixed test ideals ⋮ 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 ⋮ Mason's theorem and syzygy gaps ⋮ 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
• The Hilbert-Kunz function
• Unnamed Item

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