A CLASS OF GRADE THREE DETERMINANTAL IDEALS Kang, Oh-Jin; Kim, Joo-Hyung;
Let be a field containing the field of rational numbers and let be the polynomial ring over a field with indeterminates . Let be the determinantal ideal generated by the -minors of an matrix . Eagon and Hochster proved that is a perfect ideal of grade . We give a structure theorem for a class of determinantal ideals of grade 3. This gives us a characterization that has grade 3 if and only if and has the minimal free resolution such that the second dierential map of is a matrix defined by complete matrices of grade .
complete matrix of grade g;structure theorem;determinantal ideal;
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