Using formal-local methods, we prove that a separated and normal tame Artin surface has the resolution property. By proving that normal tame Artin stacks can be rigidified, we ultimately reduce our analysis to establishing the existence of Azumaya algebras. Our construction passes through the case of tame Artin gerbes, tame Artin curves, and algebraic space surfaces, each of which we establish independently.

中文翻译：

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通过Azumaya代数的解析属性

使用形式局部方法，我们证明了分离且正常的驯服Artin表面具有分辨率特性。通过证明可以驯服正常的Artin堆栈，我们最终将分析简化为建立Azumaya代数的存在。我们的构造是通过驯服Artin gerbes，驯服Artin曲线和代数空间曲面的情况进行的，我们分别独立地建立了它们。