半阿贝尔簇的一致Mordell-Lang猜想

中文摘要 AI 辅助

我们证明了半阿贝尔簇的一致Mordell-Lang猜想。

英文摘要

We prove the uniform Mordell--Lang conjecture for semiabelian varieties, that is, for a subvariety $X$ of a semiabelian variety, its intersection with a finite-rank subgroup of rational points, can be covered by at most $c$ cosets contained in $X$, where $c$ depends only on the dimension of the semiabelian variety, the degree of $X$, and the rank of the subgroup. Our proof is new even in the abelian case previously proven by Gao--Ge--Kühne.

发表机构

• UCLA（加州大学洛杉矶分校）
• East China Normal University（华东师范大学）
• Peking University（北京大学）

机构由 AI 辅助整理，请以论文原文为准。