Generic Free Resolutions and a Family of Generically Perfect Ideals

  title={Generic Free Resolutions and a Family of Generically Perfect Ideals},
  author={David Eisenbud},
Beginning with Hilbert’s construction of what is now called the Koszul complex [18], the study of finite free resolutions of modules over commutative rings has always proceeded by a study of certain particular generic resolutions. This has led to information about the structure of all finite free resolutions, as in [5] and [II], and to theorems on the structure and deformation of certain classes of “generically perfect” ideals and other ideals whose resolutions are of a known type [5, 6,9, 15… CONTINUE READING
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