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A CLASS OF GRADE THREE DETERMINANTAL IDEALS
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  • Journal title : Honam Mathematical Journal
  • Volume 34, Issue 2,  2012, pp.279-287
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2012.34.2.279
 Title & Authors
A CLASS OF GRADE THREE DETERMINANTAL IDEALS
Kang, Oh-Jin; Kim, Joo-Hyung;
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 Abstract
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 .
 Keywords
complete matrix of grade g;structure theorem;determinantal ideal;
 Language
English
 Cited by
 References
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