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Homotopical Algebraic Geometry II: Geometric Stacks and Applications

机译:同位代数几何II:几何堆栈及其应用

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This is the second part of a series of papers called "HAG", and devoted to develop the foundations of homotopical algebraic geometry. We start by defining and studying generalizations of standard notions of linear algebra in an abstract monoidal model category, such as derivations; kale and smooth morphisms, flat and projective modules, etc. We then use our theory of stacks over model categories, introduced in [HAGI], in order to define a general notion of geometric stack over a base symmetric monoidal model category C, and prove that this notion satisfies the expected properties.
机译:这是一系列名为“ HAG”的论文的第二部分,致力于发展同位代数几何的基础。我们首先定义和研究线性代数的标准概念在抽象单项模型类别中的一般化,例如推导;然后,我们使用[HAGI]中引入的模型类别上的堆叠理论,以定义基本对称单曲面模型类别C上的几何堆叠的一般概念,并证明该概念满足预期的特性。

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