椭圆曲线束上的超越Brauer-Manin阻塞
Transcendental Brauer-Manin obstruction on a pencil of elliptic curves
摘要:
本文给出了超越Brauer-Manin对弱逼近的阻碍的一个显式例子。它有两个特点,这是唯一以前已知的例子,这种障碍没有:类在布劳尔组负责的障碍是可分的,和基本的代数品种是一个椭圆曲面(一个K3曲面)。
英文摘要:
This note gives an explicit example of transcendental Brauer-Manin obstruction to weak approximation. It has two features which the only previously known example of such obstruction did not have: the class in the Brauer group which is responsible for the obstruction is divisible, and the underlying algebraic variety is an elliptic surface (a K3 surface).
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。