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

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

2004-05-24

arxiv.org/abs/math/0405464v1

Mathematics

Algebraic Geometry

Scientific paper

We describe the possible restrictions of the cotangent bundle \Omega_{\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}
\Gamma(C, \O(n)).

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