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Koszul homology and blowing-up rings. (English) Zbl 0499.13002
Commutative algebra, Proc. Conf., Trento/Italy 1981, Lect. Notes Pure Appl. Math. 84, 79-169 (1983).

MSC:
13A15 Ideals and multiplicative ideal theory in commutative rings
13D03 (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.)
13B02 Extension theory of commutative rings
13D25 Complexes (MSC2000)
18G10 Resolutions; derived functors (category-theoretic aspects)
13H05 Regular local rings
13H10 Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.)
14E15 Global theory and resolution of singularities (algebro-geometric aspects)