The Irreducibility of the Spaces of Rational Curves on del Pezzo Manifolds

被引：1

作者：

Okamura, Fumiya ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Furo-cho Chikusa-ku, Nagoya 4648601, Japan

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2024年 / 2024卷 / 12期

关键词：

CLASSIFYING SECTIONS; BOUNDED HEIGHT; MODULI SPACES; VARIETIES; POINTS; HYPERSURFACES; THREEFOLDS; FIBRATIONS; GEOMETRY; BUNDLES;

D O I：

10.1093/imrn/rnae080

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the irreducibility of the spaces of rational curves on del Pezzo manifolds of Picard rank $1$ and dimension $n \ge 4$ by analyzing the fibers of evaluation maps. As a corollary, we prove Geometric Manin's Conjecture in these cases.

引用

页码：9893 / 9909

页数：17

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