Koszul complexes over Cohen-Macaulay rings

DOI10.1016/j.aim.2021.107806OpenAlexW3026055358MaRDI QIDQ2039556

Liran Shaul

Publication date: 5 July 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10764

zbMATH Keywords

Cohen-Macaulay ringKoszul complexDG-algebra

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Differential graded algebras and applications (associative algebraic aspects) (16E45) Cohen-Macaulay modules (13C14) Derived categories and commutative rings (13D09)

Related Items (5)

Smooth flat maps over commutative DG-rings ⋮ Categorical properties of reduction functors over non-positive DG-rings ⋮ Cohomological dimension of DG-modules ⋮ Sequence-regular commutative DG-rings ⋮ Local Cohen-Macaulay DG-modules

Cites Work

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• On the ubiquity of Gorenstein rings
• Locally Gorenstein Homomorphisms
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• Sequences for complexes II
• Recognizing dualizing complexes
• DUALIZING DIFFERENTIAL GRADED MODULES AND GORENSTEIN DIFFERENTIAL GRADED ALGEBRAS
• The Cohen-Macaulay property in derived commutative algebra
• A Somewhat Gentle Introduction to Differential Graded Commutative Algebra

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