2025/09/09 by Takuma Seno, Seno, Takuma
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2509.07490
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.