Balanced Curves and Minimal Rational Connectedness on Fano Hypersurfaces

被引：2
|
作者：
Ran, Ziv [1 ]
机构：
[1] UC Math Dept, Skye Surge Facil, Aberdeen Inverness Rd, Riverside, CA 92521 USA
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 06期
关键词：
NORMAL-BUNDLES;
D O I：
10.1093/imrn/rnab373
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
On a general hypersurface X of degree n (resp. < n) in P-n and any e >= n - 1 (resp. arbitrarily large e), we construct families of rational curves of degree e going through the maximal number of general points. This solves in many cases the problem of rational curve interpolation on X.
引用
收藏
页码：4555 / 4600
页数：46
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