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;
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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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