Derived complex analytic geometry II: square-zero extensions

2015/07/23 by Mauro Porta, Porta, Mauro · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV

paper · pdf · doi:10.48550/arxiv.1507.06602

Comments are very welcome. 57 pages

arxiv created 2015/07/23 · arxiv updated 2015/07/24

Abstract

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.

Citations

• Derived complex analytic geometry I: GAGA theorems

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