30 citations · 120 across the 43 of their papers we have counts for
31 papers · 1 filter
Quantifying singularities with differential operators
Holger Brenner, Jack Jeffries, Luis Núñez-Betancourt
The -signature of a local ring of prime characteristic is a numerical invariant that detects many interesting properties. For example, this invariant detects (non)singularity an…
Local Picard Group of Pointed Monoids and Their Algebras
Davide Alberelli, Holger Brenner
The main goal of this paper is to give an explicit formula for the cohomology of the sheaf of units of the punctured spectrum of a Stanley-Reisner ring. In particular we compute th…
Tight closure and continuous closure
Holger Brenner, Jonathan Steinbuch
We show that for ideals primary to a maximal ideal in a normal domain of finite type over the complex numbers, its tight closure is contained inside the continuous closure.
Differential symmetric signature in high dimension
Holger Brenner, Alessio Caminata
We study the differential symmetric signature, an invariant of rings of finite type over a field, introduced in a previous work by the authors in an attempt to find a characteristi…
Hilbert-Kunz multiplicity of binoids
Bayarjargal Batsukh, Holger Brenner
We prove in a broad combinatorial setting, namely for finitely generated semipositive cancellative reduced binoids, that the Hilbert-Kunz multiplicity is a rational number independ…
Normality and Related Properties of Forcing Algebras
Danny A. J. Gomez-Ramirez, Holger Brenner
We present a sufficient condition for irreducibility of forcing algebras and study the (non)-reducedness phenomenon. Furthermore, we prove a criterion for normality for forcing alg…