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math.AC2024
Rose-Terao-Yuzvinsky theorem for reduced forms
Ricardo Burity, Zaqueu Ramos, Aron Simis +1
Yuzvinsky and Rose-Terao have shown that the homological dimension of the gradient ideal of the defining polynomial of a generic hyperplane arrangement is maximum possible. In this…
math.AC2024
Matrices over polynomial rings approached by commutative algebra
Zaqueu Ramos, Aron Simis
The main goal of the paper is the discussion of a deeper interaction between matrix theory over polynomial rings over a field and typical methods of commutative algebra and related…