主gm束的Gromov椭圆性

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-07-25 DOI:10.1016/j.aim.2025.110444

Sh. Kaliman

引用次数: 0

摘要

证明了在Gromov意义下，一个完全稳定一致有理变异上的每一个非平凡主gm -束都是代数椭圆的。

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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Gromov's ellipticity of principal Gm-bundles

We prove that every nontrivial principal

G_{m}

-bundle over a complete stably uniformly rational variety is algebraically elliptic in the sense of Gromov.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.