关于数值有效切丛凡诺流形的一个注记

doi:10.13371/j.cnki.chin.q.j.m.2026.03.003

数学季刊 ›› 2026, Vol. 41 ›› Issue (3): 263-268.doi: 10.13371/j.cnki.chin.q.j.m.2026.03.003

关于数值有效切丛凡诺流形的一个注记

School of Mathematics, Sun Yat-sen University, 510275 Guangzhou, China

收稿日期:2025-09-15 出版日期:2026-09-30 发布日期:2026-09-18
作者简介:YANG Qi-lin, male, associate professor of Sun Yat-sen University, engages in algebraic geometry and arithmetic geometry.

A Note on Toric Fano Manifolds with Nef Tangent Bundles

School of Mathematics, Sun Yat-sen University, 510275 Guangzhou, China

Received:2025-09-15 Online:2026-09-30 Published:2026-09-18
About author:YANG Qi-lin, male, associate professor of Sun Yat-sen University, engages in algebraic geometry and arithmetic geometry.

摘要/Abstract

摘要： In this note we prove that any toric Fano manifold with nef tangent bundle is a product of projective spaces. In particular, it implies that Campana-Peternell conjecture holds for toric manifolds.

关键词: Nef tangent bundle; , Toric variety; , Fano manifold; , Campana-Peternell conjecture

Abstract: In this note we prove that any toric Fano manifold with nef tangent bundle is a product of projective spaces. In particular, it implies that Campana-Peternell conjecture holds for toric manifolds.

Key words: Nef tangent bundle; , Toric variety; , Fano manifold; , Campana-Peternell conjecture

中图分类号:

O187.2

杨奇林. 关于数值有效切丛凡诺流形的一个注记[J]. 数学季刊, 2026, 41(3): 263-268.

YANG Qi-lin. A Note on Toric Fano Manifolds with Nef Tangent Bundles[J]. Chinese Quarterly Journal of Mathematics, 2026, 41(3): 263-268.

关于数值有效切丛凡诺流形的一个注记

A Note on Toric Fano Manifolds with Nef Tangent Bundles

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