DETERMINANTAL IDEALS AND MONOMIAL CURVES IN THE THREE-DIMENSIONAL SPACE

MARGHERITA BARILE

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DETERMINANTAL IDEALS AND MONOMIAL CURVES IN THE THREE-DIMENSIONAL SPACE

机译：三维空间中的决定性理想和单曲线

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摘要

We show that the defining ideal of every monomial curve in the affine or projective three-dimensional space can be set-theoretically defined by three binomial equations, two of which set-theoretically define a determinantal ideal generated by the 2-minors of a 2 × 3 matrix with monomial entries.

机译：我们表明，仿射或射影三维空间中每个单项曲线的定义理想可以通过三个二项式方程组理论设置，其中两个定理定义由2×的2次子生成的行列式理想3个具有单项式项的矩阵。

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《Journal of algebra and its applications》 |2007年第2期|共14页
作者
MARGHERITA BARILE;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Determinantal ideals; monomial curves; binomial ideals; complete intersections;

机译：行列式理想;单项曲线;二项式理想;完全交点;

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专利

1. DETERMINANTAL IDEALS AND MONOMIAL CURVES IN THE THREE-DIMENSIONAL SPACE [J] . MARGHERITA BARILE Journal of algebra and its applications . 2007,第2期

机译：三维空间中的决定性理想和单曲线
2. A short note on the multiplier ideals of monomial space curves [J] . Thompson Howard M. Journal of pure and applied algebra . 2016,第6期

机译：关于单项空间曲线的乘数理想的简短说明
3. Multiplier ideals of monomial space curves [J] . Thompson Howard Proceedings of the American Mathematical Society. Series B . 2014,第4期

机译：单项空间曲线的乘数理想
4. Space-like Bezier Curves inthe Three-dimensional Minkowski Space [C] . G. H. Georgiev International Conference "Applications of Mathematics in Engineering and Economics" . 2008

机译：空间贝塞尔曲线Inthe三维Minkowski空间
5. Three-dimensional rational cubic B-Spline approximation of space curve data given in three-dimensional coordinates or two-dimensional projection coordinates. [D] . Ravikumar, Prathivadi B. 1987

机译：以三维坐标或二维投影坐标给出的空间曲线数据的三维有理三次B样条近似值。
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机译：内部转录间隔（ITS）一种用于区分草C鱼墙的物种的理想DNA条码。（龙胆科）
7. Determinantal ideals and monomial curves in the three-dimensional space [O] . BARILE M 2007

机译：三维空间中的行列式理想和单项曲线

DETERMINANTAL IDEALS AND MONOMIAL CURVES IN THE THREE-DIMENSIONAL SPACE

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