manuscripta mathematica

, Volume 30, Issue 3, pp 239-255

First online:

On the Symmetric and Rees algebras of an ideal

  • Giuseppe VallaAffiliated withIstituto di Matematica, Universita' Di Genova

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Some necessary and sufficient conditions are given for the Rees and Symmetric Algebra of an ideal being canonically isomorphic. Some applications are obtained to the study of the relations between the generators of ideals which are maximal minors of a generic t by (t+1) matrix, prime ideals of finite projective dimension, almost complete intersections or d-sequences.