کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
401887 | 676742 | 2008 | 20 صفحه PDF | دانلود رایگان |

Let I be the defining ideal of a non-degenerate smooth integral curve of degree d and of genus g in Pn where n≥3. The degree-complexity of I with respect to a term order τ is the maximum degree in a reduced Gröbner basis of I, and is exactly the highest degree of a minimal generator of . For the degree lexicographic order, we show that the degree-complexity of I in generic coordinates is with the exception of two cases: (1) a rational normal curve in P3 and (2) an elliptic curve of degree 4 in P3, where the degree-complexities are 3 and 4 respectively. Additionally if X⊂Pn is a non-degenerate integral scheme then we show that, for the degree lexicographic order, the degree-complexity of X in generic coordinates is not changed by an isomorphic projection of X from a general point.
Journal: Journal of Symbolic Computation - Volume 43, Issues 6–7, June–July 2008, Pages 422-441