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arXiv math/0405464math.AGmath.AC
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Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz fnctions

Holger Brenner, Georg Hein

英文摘要:

We describe the possible restrictions of the cotangent bundle Ω_{\PP^N} to an elliptic curve C \subset \PP^N. We apply this in positive characteristic to the computation of the Hilbert-Kunz function of a homogeneous R_+-primary ideal I \subset R in the graded section ring R = \bigoplus_{n \in \NN} Γ(C, Ø(n)).

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