The rationality of the Hilbert-Kunz multiplicity in graded dimension two

DOI10.1007/s00208-005-0703-xzbMath1098.13017arXivmath/0402180OpenAlexW2062755033MaRDI QIDQ816958

Holger Brenner

Publication date: 2 March 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402180

zbMATH Keywords

Frobenius morphismgraded ringsHilbert-Kunz multiplicity

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Vector bundles on curves and their moduli (14H60) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (19)

Rank-2 syzygy bundles on Fermat curves and an application to Hilbert-Kunz functions ⋮ A remark on Frobenius descent for vector bundles ⋮ An explicit example of Frobenius periodicity ⋮ A direct limit for limit Hilbert-Kunz multiplicity for smooth projective curves ⋮ The Hilbert-Kunz functions of two-dimensional rings of type ADE ⋮ $F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ On the behaviour of strong semistability in geometric deformations ⋮ Asymptotic behavior of the socle of Frobenius powers ⋮ Syzygy gap fractals. I: Some structural results and an upper bound ⋮ Hilbert-Kunz theory for nodal cubics, via sheaves ⋮ TOWARD HILBERT–KUNZ DENSITY FUNCTIONS IN CHARACTERISTIC 0 ⋮ Hilbert-Kunz functions for irreducible plane curves ⋮ Hilbert-Kunz multiplicity of binoids ⋮ The Hilbert–Kunz Function in Graded Dimension Two ⋮ Hilbert-Kunz Multiplicity and Reduction Mod p ⋮ Tight closure does not commute with localization ⋮ Hilbert-Kunz density function and Hilbert-Kunz multiplicity ⋮ The shape of Hilbert-Kunz functions ⋮ GENERALIZED HILBERT–KUNZ FUNCTION IN GRADED DIMENSION 2

Cites Work

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