A Frobenius characterization of finite projective dimension over complete intersections

DOI10.1007/PL00004783zbMath0977.13005OpenAlexW2065599615MaRDI QIDQ1964752

Claudia M. Miller

Publication date: 18 July 2000

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

Full work available at URL: https://doi.org/10.1007/pl00004783

zbMATH Keywords

projective dimensioncharacteristic \(p\)Hilbert-Kunz multiplicityFrobenius functor

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (7)

Rank-2 syzygy bundles on Fermat curves and an application to Hilbert-Kunz functions ⋮ A Note on a Conjecture of Watanabe and Yoshida ⋮ On the generalized Hilbert-Kunz function and multiplicity ⋮ Frobenius Betti numbers and syzygies of finite length modules ⋮ Hilbert-Kunz multiplicity of products of ideals ⋮ Hilbert–Kunz Functions over Rings Regular in Codimension One ⋮ The rationality of the Hilbert-Kunz multiplicity in graded dimension two

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