Curves in low dimensional projective spaces with the lowest ranks

Let $X\subset \PP^r$ be an integral and non-degenerate curve. For each $q\in \PP^r$ the $X$-rank $r_X(q)$ of $q$ is the minimal number of points of $X$ spanning $q$. A general point of $\PP^r$ has $X$-rank $\lceil (r+1)/2\rceil$. For $r=3$ (resp. $r=4$) we construct many smooth curves such that $r_X...

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發表在:	Cubo
主要作者:	Edoardo Ballico
格式:	Article
語言:	英语
出版:	Universidad de La Frontera 2020-12-01
主題:	x-rank projective curve space curve curve in projective spaces
在線閱讀:	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2471/2028