Bounds for the Hilbert-Kunz multiplicity of singular rings
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Publication:6563077
DOI10.1007/s40306-024-00525-9MaRDI QIDQ6563077
Nicholas O Cox-Steib, Ian M. Aberbach
Publication date: 27 June 2024
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
Singularities in algebraic geometry (14B05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Extension theory of commutative rings (13B02)
Cites Work
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- Lower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimension
- \(P\)-fractals and power series. II: Some applications to Hilbert-Kunz theory
- Some surprising Hilbert-Kunz functions
- Hilbert-Kunz multiplicity and an inequality between multiplicity and colength
- \(F\)-signature of pairs and the asymptotic behavior of Frobenius splittings
- On the upper semi-continuity of the Hilbert-Kunz multiplicity
- The Hilbert-Kunz function
- New estimates of Hilbert–Kunz multiplicities for local rings of fixed dimension
- Bounds on the Hilbert-Kunz multiplicity
- Volume of Hypercubes Clipped by Hyperplanes and Combinatorial Identities
- On Noetherian Rings of Characteristic p
- Hilbert-Kunz Multiplicity of Three-Dimensional Local Rings
- Lectures on Convex Geometry
- Characterizations of Regular Local Rings of Characteristic p
- Lower bounds on Hilbert–Kunz multiplicities and maximal F-signatures
- The Hilbert-Kunz density functions of quadric hypersurfaces
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