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A GROEBNER BASIS FOR THE 2 × 2 DETERMINANTAL IDEAL MOD t² (2004)
| Content Provider | CiteSeerX |
|---|---|
| Author | Kosir, Tomaz Sethuraman, B. A. |
| Abstract | In an earlier paper ([6]) we had begun a study of the components and dimensions of the spaces of (k −1)-th order jets of the classical determinantal varieties: these are the varieties Z m,n r,k obtained by considering generic m × n (m ≤ n) matrices over rings of the form F [t]/(t k), and for some fixed r, setting the coefficients of powers of t of all r ×r minors to zero. In this paper, we consider the case where r = k = 2, and provide a Groebner basis for the ideal I m,n 2,2 which defines the tangent bundle to the classical 2 × 2 determinantal variety. We use the results of these Groebner basis calculations to describe the components of the varieties Z m,n r,4 where r is arbitrary. (The components of Z m,n r,2 and Z m,n r,3 were already described in [6].) |
| File Format | |
| Publisher Date | 2004-01-01 |
| Access Restriction | Open |
| Subject Keyword | Version Groebner Basis Groebner Basis Calculation Groebner Basis Tangent Bundle Determinantal Variety Determinantal Ideal Mod Classical Determinantal Variety Th Order Jet |
| Content Type | Text |
