4 citations · 13 across the 16 of their papers we have counts for
5 papers · 2 filters
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…
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…
Tight closure and plus closure in dimension two
Holger Brenner
We prove that the tight closure and the graded plus closure of a homogeneous ideal coincide for a two-dimensional N-graded domain of finite type over the algebraic closure of a fin…