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 2-dimensional excellent schemes over a henselian local domain of dimension one or two with algebraically closed residue field.

中文翻译：

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曲面功能场的牢固链接

通过一全球性字段的指数除以中央简单代数的任何有限数量的米是通过的程度公共循环字段扩展分裂米。我们表明，对于一维或二维二维的henselian局部域上具有代数封闭残差域的二维优良方案的函数域，它具有相同的性质。