5 papers
Penrose tilings, infinite friezes, and the -singularity
Özgür Esentepe, Eleonore Faber
We study Penrose tilings of the plane and nonperiodic infinite frieze patterns from the point of view of Cohen--Macaulay representation theory: Triangulations of the…
Annihilation of cohomology over one dimensional almost Gorenstein rings
Özgür Esentepe
Given a Cohen-Macaulay local ring, the cohomology annihilator ideal and the annihilator of the stable category of maximal Cohen-Macaulay modules are two ideals closely related both…
When is the canonical conductor minimal?
Özgür Esentepe
For a one dimensional analytically unramified Cohen-Macaulay local ring , the blowup algebra of the canonical ideal is a module finite birational extension. The conductor of thi…
Arf rings, simple singularities and reflexive modules
Özgür Esentepe
In a pandemic era preprint, Dao showed showed two remarkable properties of Arf rings: under some mild conditions, they admit finitely many indecomposable reflexive modules up to is…
An Alexandrov Topology for Maximal Cohen-Macaulay Modules
Mert Akdenizli, Bilal Aytekin, Baran Çetin +1
Using the theory of cohomology annihilators, we define a family of topologies on the set of isomorphism classes of maximal Cohen-Macaulay modules over a Gorenstein ring. We study c…