The Ziegler spectrum of the $D$-infinity plane singularity
Volume 157 / 2019
Colloquium Mathematicum 157 (2019), 35-63
MSC: Primary 13C14; Secondary 13L05, 16D50.
DOI: 10.4064/cm7161-2-2018
Published online: 15 February 2019
Abstract
We describe the Cohen–Macaulay part of the Ziegler spectrum of the $D_{\infty }$ plane singularity $S$ and calculate the nilpotency index of the radical of the category of finitely generated Cohen–Macaulay $S$-modules.