Mumford-Tate猜想是Banaszak和Kedlaya的代数Sato-Tate猜想的推广
The Mumford-Tate conjecture implies the algebraic Sato-Tate conjecture of Banaszak and Kedlaya
摘要：
代数Sato-Tate猜想最初由Serre提出，然后由Banaszak和Kedlaya讨论。本文证明了对阿贝尔簇A的Mumford-Tate猜想蕴涵了对A的代数Sato-Tate猜想。这一结果的相关性主要在于这样一个事实，即迄今为止，芒福德-泰特猜想的已知情况比代数佐藤-泰特猜想的已知情况要长得多。
英文摘要：
The algebraic Sato-Tate conjecture was initially introduced by Serre and then discussed by Banaszak and Kedlaya. This note shows that the Mumford-Tate conjecture for an abelian variety A implies the algebraic Sato-Tate conjecture for A. The relevance of this result lies mainly in the fact that the list of known cases of the Mumford-Tate conjecture was up to now a lot longer than the list of known cases of the algebraic Sato-Tate conjecture.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
