Rank-2 syzygy bundles on Fermat curves and an application to Hilbert-Kunz functions

Daniel Brinkmann, Almar Kaid

In this paper we describe the Frobenius pull-backs of the syzygy bundles $Sy{z}_C(X^a,Y^a,Z^a)$, $a\ge 1$, on the projective Fermat curve C of degree n in characteristics coprime…