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arXiv · 2412.13506

Formal Derived Algebraic Geometry

Chang-Yeon Chough
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Abstract

We develop some foundations for the theory of formal derived algebraic geometry, which parallel the theory of formal spectral algebraic geometry by Jacob Lurie. For this, we establish a close connection between algebro-geometric objects in the derived and spectral settings. We apply this construction to prove a version of the formal GAGA theorem in the derived setting.

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Chang-Yeon Chough. 2024-12-18. Formal Derived Algebraic Geometry. https://arxiv.org/abs/2412.13506

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