The Ziegler spectrum of the D-infinity plane singularity
Inna Los, Gena Puninski
TL;DR
This paper explores the Cohen--Macaulay part of the Ziegler spectrum for the D-infinity plane singularity, providing detailed descriptions and calculations related to its structure and properties.
Contribution
It offers a detailed description of the Cohen--Macaulay Ziegler spectrum for the D-infinity plane singularity and computes the nilpotency index of its module category radical.
Findings
Description of the Cohen--Macaulay Ziegler spectrum
Calculation of the nilpotency index of the radical
Insights into the structure of Cohen--Macaulay modules
Abstract
We will describe the Cohen--Macaulay part of the Ziegler spectrum of the D-infinity plane singularity S and calculate the nilpotency index of the radical of the category of finitely generated Cohen--Macaulay S-modules.
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