P. Schenzel

activity

19952026

most citedOn Lyubeznik's invariants and endomorphisms of local cohomology modules

7 citations · 18 across the 26 of their papers we have counts for

collaborators

33 papers

math.AC2026

Notes on Matlis reflexive modules

Peter Schenzel

Let $M$ denote a module over a local Noetherian ring $(R, m)$ with residue field $k$ and its injective hull $E_{R}$ . Let $D_{R} (\cdot) = Hom_{R} (\cdot, E_{R})$ …

math.AC2025

Monomial curves and locally linear resolution

Takayuki Hibi, Peter Schenzel

For four elements of a Noetherian ring we construct complexes of free modules of length three (resp. five) by an explicit description of the homomorphisms of the free modules. We p…

math.AC2024

A note on Deligne's formula

Peter Schenzel

Let $R$ denote a Noetherian ring and an ideal $J \subset R$ with $U = SpecR ∖ V (J)$ . For an $R$ -module $M$ there is an isomorphism $Γ(U, \tilde{M}) \cong \v…

math.AC2024

On Pro-zero homomorphisms and sequences in local (co-)homology

Peter Schenzel

Let $\xx= x_1,\ldots,x_r$ denote a system of elements of a commutative ring $R$ . For an $R$ -module $M$ we investigate when $\xx$ is $M$ -pro-regular resp. $M$ -weakly pro-regular as…

math.AC2021

Generalized local duality, canonical modules, and prescribed bound on projective dimension

Thiago H. Freitas, Victor H. Jorge-Pérez, Cleto B. Miranda-Neto +1

We present various approaches to J. Herzog's theory of generalized local cohomology and explore its main aspects, e.g., (non-)vanishing results as well as a general local duality t…

math.AC2021

"Infinite" properties of certain local cohomology modules of determinantal rings

Peter Schenzel

For given integers $m, n \geq 2$ there are examples of ideals $I$ of complete determinantal local rings $(R, m), dim R = m + n - 1, grade I = n - 1,$ with the ca…