Spaces of Low-Degree Rational Curves on Fano Complete Intersections

被引：1
作者：
Pan, Xuanyu [1 ,2 ]
机构：
[1] Chinese Acad Sci, Inst Math, AMSS, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
[2] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2020年 / 2020卷 / 24期
关键词：
FAMILIES; APPROXIMATION;
D O I：
10.1093/imrn/rnz026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that the moduli space of low degree rational curves on a low-degree complete intersection passing several suitable points is a complete intersection. The proof involves some relationships among some divisors on the Kontsevich spaces, advanced techniques of deformations of rational curves, and classical projective geometry.
引用
收藏
页码：10346 / 10380
页数：35
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