Konstruktion von Invariantenringen ohne die Cohen-Macaulay Eigenschaft
Martin Kohls
TL;DR
This paper presents examples of invariant rings that do not possess the Cohen-Macaulay property, highlighting cases where standard assumptions in invariant theory do not hold.
Contribution
It provides explicit examples of non-Cohen-Macaulay invariant rings, expanding understanding of their structure beyond typical Cohen-Macaulay cases.
Findings
Examples of non-Cohen-Macaulay invariant rings are constructed.
The paper demonstrates the existence of invariant rings lacking Cohen-Macaulay property.
Abstract
We give examples of Non-Cohen-Macaulay invariant rings.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Commutative Algebra and Its Applications · Advanced Topics in Algebra