A new proof of non-Cohen-Macaulayness of Bertin's example
Commutative Algebra
2025-11-25 v2
Abstract
Bertin's example is famous as the first known Noetherian UFD that is not Cohen-Macaulay. In the example, she employed a ring of invariants and proved that the ring is not Cohen-Macaulay by calculating a homogeneous system of parameter and generators of it. In this paper, we give a new proof by arguments on ring theoretic properties.
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Cite
@article{arxiv.2509.07490,
title = {A new proof of non-Cohen-Macaulayness of Bertin's example},
author = {Takuma Seno},
journal= {arXiv preprint arXiv:2509.07490},
year = {2025}
}
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10 pages