The Ziegler spectrum and Ringel's quilt of the A-infinity plane singularity
Gena Puninski
TL;DR
This paper characterizes the Cohen-Macaulay part of the Ziegler spectrum and computes Ringel's quilt for the category of finitely generated Cohen-Macaulay modules over the A-infinity plane singularity, advancing understanding of their structure.
Contribution
It provides a detailed description of the Cohen-Macaulay Ziegler spectrum and explicitly calculates Ringel's quilt for the A-infinity plane singularity category, a novel analysis in this area.
Findings
Description of the Cohen-Macaulay Ziegler spectrum
Calculation of Ringel's quilt for the category
Enhanced understanding of A-infinity plane singularity modules
Abstract
We describe the Cohen-Macaulay part of the Ziegler spectrum and calculate Ringel's quilt of the category of finitely generated Cohen--Macaulay modules over the A-infinity plane singularity.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons