论文标题
表面功能字段的牢固链接
Strong linkage for function fields of surfaces
论文作者
论文摘要
在全球字段上，有限数量的指数划分$ m $的中央简单代数被公共的循环场扩展为$ m $。我们表明，同一属性具有二维优秀方案的功能场，上面有一个或两个具有代数封闭残基字段的尺寸的局部局部域。
Over a global field any finite number of central simple algebras of exponent dividing $m$ is split by a common cyclic field extension of degree $m$. We show that the same property holds for function fields of two-dimensional excellent schemes over a henselian local domain of dimension one or two with algebraically closed residue field.
