Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz fnctions
Holger Brenner, Georg Hein
Abstract
We describe the possible restrictions of the cotangent bundle ΩN to an elliptic curve C ⊂ N. We apply this in positive characteristic to the computation of the Hilbert-Kunz function of a homogeneous R+-primary ideal I ⊂ R in the graded section ring R = n ∈ Γ(C, Ø(n)).
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