30 citations · 33 across the 8 of their papers we have counts for
8 papers
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 , , on the projective Fermat curve C of degree n in characteristics coprime…
Semistable vector bundles and Tannaka duality from a computational point of view
Almar Kaid, Ralf Kasprowitz
We develop a semistability algorithm for vector bundles which are given as a kernel of a surjective morphism between splitting bundles on the projective space over an algebraically…
An explicit example of Frobenius periodicity
Holger Brenner, Almar Kaid
In this note we show that the restriction of the cotangent bundle of the projective plane to a Fermat curve of degree in characteristic $p \equiv -1 \mod…
A note on the weak Lefschetz property of monomial complete intersections in positive characteristic
Holger Brenner, Almar Kaid
Let K be an algebraically closed field of characteristic p > 0. We apply a theorem of C. Han to give an explicit description for the weak Lefschetz property of the monomial Artinia…
On deep Frobenius descent and flat bundles
Holger Brenner, Almar Kaid
Let R be an integral domain of finite type over Z and let f:X --> Spec R be a smooth projective morphism of relative dimension d >= 1. We investigate, for a vector bundle E on the…
A remark on Frobenius descent for vector bundles
Holger Brenner, Almar Kaid
We give a class of examples of vector bundles on a relative smooth projective curve over Spec Z such that for infinitely many prime reductions the bundle has a Frobenius descent, b…