RATIONAL CURVES ON PRIME FANO THREEFOLDS OF INDEX 1

被引：13
|
作者：
Lehmann, Brian [1 ]
Tanimoto, Sho [2 ]
机构：
[1] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA
[2] Kumamoto Univ, Fac Sci, Dept Math, Kurokami 2-39-1, Kumamoto 8608555, Japan
来源：
JOURNAL OF ALGEBRAIC GEOMETRY | 2021年 / 30卷 / 01期
基金：
美国国家科学基金会;
关键词：
GROMOV-WITTEN INVARIANTS; BUNDLES;
D O I：
10.1090/jag/751
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the moduli spaces of rational curves on prime Fano threefolds of index 1. For general threefolds of most genera we compute the dimension and the number of irreducible components of these moduli spaces. Our results confirm Geometric Manin's Conjecture in these examples and show the enumerativity of certain Gromov-Witten invariants.
引用
收藏
页码：151 / 188
页数：38
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