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Paper   IPM / M / 473
School of Mathematics
  Title:   Gr·· obner basis and free resolution of the ideal of 2-minors of A 2×n matrix of linear forms
1.  Rahim Zaare-Nahandi
2.  Rashid Zaare-Nahandi
  Status:   Published
  Journal: Comm. Algebra
  No.:  9
  Vol.:  28
  Year:  2000
  Pages:   4433-4453
  Supported by:  IPM
We give a Gr·· obner basis for the ideal of 2-minors of a 2×n matrix of linear forms. The minimal free resolution of such an ideal is obtained in [4] when the corresponding Kronecker-Weierstrass normal form has no nilpotent blocks. For the general case, using this result, the Gr·· obner basis and the Eliahou-Kervaire resolution for stable monomial ideals, we obtain a free resolution with the expected regularity. For a specialization of the defining ideal of ordinary pinch points, as a special case of these ideals, we provide a minimal free resolution explicitly in terms of certain Koszul complex.

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