导出复体analytic geometry II：平方零扩张
Derived complex analytic geometry II: square-zero extensions
摘要：
我们继续探索衍生\canal几何开始在[DAG-IX]和http://arxiv.org/abs/1506.09042。我们把导出复解析空间$X$上的$\mathcal O_X$ -模范畴描述为$\mathcal O_X$上解析代数范畴的稳定化.最后，我们应用这种描述引入解析平方零扩张的概念，并证明了它们的一个基本结构定理。
英文摘要：
We continue the explorations of derived \canal geometry started in [DAG-IX] and in http://arxiv.org/abs/1506.09042. We describe the category of $\mathcal O_X$-modules over a derived complex analytic space $X$ as the stabilization of a suitable category of analytic algebras over $\mathcal O_X$. Finally, we apply this description to introduce the notion of analytic square-zero extension and prove a fundamental structure theorem for them.
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