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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71307We 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)).Algebraic GeometryCommutative Algebra13A35; 13D02; 13D40; 14H60Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz fnctionstext