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Quasi-isomorphisms of Koszul complexes
Author(s):
José
J. M.
Soto
Journal:
Proc. Amer. Math. Soc.
128
(2000),
713-715.
MSC (1991):
Primary 13H10, 13D03
Posted:
March 3, 1999
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Abstract:
Let  be a surjective homomorphism of noetherian local commutative rings that induces an isomorphism between the first Koszul homology modules and an epimorphism between the second Koszul homology modules. Then  induces isomorphisms between Koszul homology modules in all dimensions.
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Additional Information:
José
J. M.
Soto
Affiliation:
Departamento de Álgebra, Facultad de Matemáticas, Universidad de Santiago de Compostela, E-15771 Santiago de Compostela, Spain
DOI:
10.1090/S0002-9939-99-05071-6
PII:
S 0002-9939(99)05071-6
Keywords:
Koszul homology,
regular sequence,
complete intersection
Received by editor(s):
February 10, 1997
Received by editor(s) in revised form:
May 5, 1998
Posted:
March 3, 1999
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
1999,
American Mathematical Society
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