The spaces of rational curves on del Pezzo threefolds of degree one

被引：0
|
作者：
Nobuki Shimizu
Sho Tanimoto
机构：
[1] Kumamoto University,Department of Science, Graduate School of Science and Technology
[2] Graduate School of Mathematics,undefined
[3] Nagoya University,undefined
来源：
European Journal of Mathematics | 2022年 / 8卷
关键词：
Rational curves; Moduli spaces; Fano varieties; 14H10; 14J45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove the irreducibility of moduli spaces of rational curves on a general del Pezzo threefold of Picard rank 1 and degree 1. As corollaries, we confirm Geometric Manin’s conjecture and enumerativity of certain Gromov–Witten invariants for these threefolds.
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页码：291 / 308
页数：17
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