4 papers
When is the canonical conductor minimal?
Ãzgür 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…
Penrose tilings, infinite friezes, and the -singularity
Ãzgür 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
Ãzgür 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…
Arf rings, simple singularities and reflexive modules
Ãzgür 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…