4 citations · 13 across the 16 of their papers we have counts for
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Bounds for test exponents
Holger Brenner
Suppose that R is a two-dimensional normal standard-graded domain over a finite field. We prove that there exists a uniform Frobenius test exponent b for the class of homogeneous i…
On a problem of Miyaoka
Holger Brenner
We give an example of a vector bundle E on a relative curve C --> Spec Z such that the restriction to the generic fiber in characteristic zero is semistable but such that the restr…
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…
A linear bound for Frobenius powers and an inclusion bound for tight closure
Holger Brenner
Let I denote an R_+ -primary homogeneous ideal in a normal standard-graded Cohen-Macaulay domain over a field of positive characteristic p. We give a linear degree bound for the Fr…
A Hilbert-Kunz criterion for solid closure in dimension two (characteristic zero)
Holger Brenner
Let I denote a homogeneous R_+-primary ideal in a two-dimensional normal standard-graded domain over an algebraically closed field of characteristic zero. We show that a homogeneou…
The rationality of the Hilbert-Kunz multiplicity in graded dimension two
Holger Brenner
We show that the Hilbert-Kunz multiplicity is a rational number for an R_+-primary homogeneous ideal I=(f_1, ..., f_n) in a two-dimensional graded domain R of finite type over an a…