Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz fnctions
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
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)).
Keywords
Cite
@article{arxiv.math/0405464,
title = {Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz fnctions},
author = {Holger Brenner and Georg Hein},
journal= {arXiv preprint arXiv:math/0405464},
year = {2007}
}