4 citations · 13 across the 16 of their papers we have counts for
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Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz fnctions
Holger Brenner, Georg Hein
We 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 Hil…
There is no Bogomolov type restriction theorem for strong semistability in positive characteristic
Holger Brenner
We give an example of a strongly semistable vector bundle of rank two on the projective plane such that there exist smooth curves of arbitrary high degree with the property that th…
The theory of tight closure from the viewpoint of vector bundles
Holger Brenner
We present a geometric interpretation of tight closure in terms of vector bundles and projective bundles.
Slopes of vector bundles on projective curves and applications to tight closure problems
Holger Brenner
We study different notions of slope of a vector bundle over a smooth projective curve with respect to ampleness and affineness in order to apply this to tight closure problems. Thi…