Formal Derived Algebraic Geometry

Published 18 Dec 2024 in math.AG | (2412.13506v3)

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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Authors (1)

Chang-Yeon Chough

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