کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
401887 676742 2008 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The degree-complexity of the defining ideal of a smooth integral curve
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
The degree-complexity of the defining ideal of a smooth integral curve
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 43, Issues 6–7, June–July 2008, Pages 422-441