Koszul homology and its syzygy-theoretic part

DOI10.1016/0021-8693(78)90188-6zbMath0402.13009OpenAlexW2059923901MaRDI QIDQ1255530

Aaron Simis

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90188-6

zbMATH Keywords

Koszul ComplexIdeals Generated By Three ElementsJacobian IdealKoszul HomologySingularities of a CurveSystems of GeneratorsSyzygy- Theoretic Part

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Singularities of curves, local rings (14H20)

Related Items

Homology of commutative algebras and an invariant of Simis and Vasconcelos ⋮ Syzygetic ideals, regular sequences, and a question of Simis ⋮ On the symmetric and Rees algebras of an ideal ⋮ The Koszul homology of an ideal

Cites Work

• Unnamed Item
• Unnamed Item
• Codimension and multiplicity
• Some structure theorems for finite free resolutions
• Vector bundles over affine surfaces
• Ideals generated by \(R\)-sequences
• Algèbres symétriques et syzygies
• A note on the Koszul homology of ordinary singularities
• Free resolutions of certain triply generated ideals