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

IF 0.9 2区数学 Q2 MATHEMATICS

International Mathematics Research Notices Pub Date : 2024-04-29 DOI:10.1093/imrn/rnae080

Fumiya Okamura

引用次数: 0

Abstract

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.

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德尔佩佐积分上有理曲线空间的不可还原性

我们通过分析评价映射的纤维，证明了皮卡等级为1元、维度为4元的德尔佩佐流形上有理曲线空间的不可还原性。作为推论，我们证明了这些情况下的几何马宁猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Mathematics Research Notices 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

316

审稿时长

1 months

期刊介绍： International Mathematics Research Notices provides very fast publication of research articles of high current interest in all areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.