Stable degenerations of Cohen-Macaulay modules

2010/12/21 by Yuji Yoshino, Yoshino, Yuji
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Primary 13C14 #Representation Theory (math.RT) #Secondary 13D10

paper · pdf · doi:10.48550/arxiv.1012.4531

openalex publication_date 2010/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

As a stable analogue of degenerations, we introduce the notion of stable degenerations for Cohen-Macaulay modules over a Gorenstein local algebra. We shall give several necessary and/or sufficient conditions for the stable degeneration. These conditions will be helpful to see when a Cohen-Macaulay module degenerates to another.

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