Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz functions

DOI10.1007/s00229-005-0598-6zbMath1153.13003arXivmath/0405464OpenAlexW2077500260MaRDI QIDQ813272

Georg Hein, Holger Brenner

Publication date: 31 January 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405464

zbMATH Keywords

elliptic curvescotangent bundleHilbert-Kunz functions

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 (7)

A direct limit for limit Hilbert-Kunz multiplicity for smooth projective curves ⋮ \(H\)-stability of syzygy bundles on some regular algebraic surfaces ⋮ Classification of rank two weak Fano bundles on del Pezzo threefolds of degree four ⋮ Splitting of the pullback of \(T_{ \mathbb{P}^3}\) on an elliptic curve ⋮ The Hilbert–Kunz Function in Graded Dimension Two ⋮ The symmetric signature ⋮ The shape of Hilbert-Kunz functions

Cites Work

• Unnamed Item
• Hilbert-Kunz functions of cubic curves and surfaces
• The Hilbert-Kunz function of a characteristic 2 cubic
• A characteristic zero Hilbert-Kunz criterion for solid closure in dimension two
• Semistability and Hilbert-Kunz multiplicities for curves
• Semistable bundles over an elliptic curve
• The Hilbert-Kunz function
• Hilbert--Kunz functions and multiplicities for full flag varieties and elliptic curves.
• Hilbert-Kunz functions for normal rings
• Fourier-Mukai transforms and stable bundles on elliptic curves
• Vector Bundles Over an Elliptic Curve

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