Abstract
The paper introduces the notions of
generically acyclic, projective complexes
and
generically perfect ideals
. The former are expressed in terms of the Koszul complex and used to study the properties of ideals with a common method of generation, with particular reference to those which are perfect in non-special situations. In this way an extension of the Generalized Principal Ideal Theorem is obtained. Other applications concern ideals generated by sub-determinants of matrices and properties of a generalized multiplicity symbol.
Cited by
31 articles.
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