Hilbert-Kunz Multiplicity and Reduction Mod p

DOI10.1017/S0027763000025770zbMath1134.13010arXivmath/0407513MaRDI QIDQ5427245

Vijaylaxmi Trivedi

Publication date: 19 November 2007

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407513

zbMATH Keywords

spreadHilbert-Kunz multiplicity

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Vector bundles on curves and their moduli (14H60) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (10)

A direct limit for limit Hilbert-Kunz multiplicity for smooth projective curves ⋮ Equimultiplicity in Hilbert-Kunz theory ⋮ On semicontinuity of multiplicities in families ⋮ TOWARD HILBERT–KUNZ DENSITY FUNCTIONS IN CHARACTERISTIC 0 ⋮ Hilbert-Kunz density functions and \(F\)-thresholds ⋮ Hilbert-Kunz multiplicity of binoids ⋮ Recent results on vector bundles, principal bundles and related topics ⋮ \(F\)-thresholds \(c^I (\mathbf{m})\) for projective curves ⋮ The shape of Hilbert-Kunz functions ⋮ GENERALIZED HILBERT–KUNZ FUNCTION IN GRADED DIMENSION 2

Cites Work

• Unnamed Item
• The rationality of the Hilbert-Kunz multiplicity in graded dimension two
• On the cohomology groups of moduli spaces of vector bundles on curves
• Openness of a family of torsion free sheaves
• Some surprising Hilbert-Kunz functions
• Semi-stability and reduction \(\bmod p\)
• Hilbert-Kunz multiplicity and an inequality between multiplicity and colength
• A characteristic zero Hilbert-Kunz criterion for solid closure in dimension two
• Semistability and Hilbert-Kunz multiplicities for curves
• The Hilbert-Kunz function
• Semistable sheaves in positive characteristic

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