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Perfect obstruction theory

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Perfect obstruction theory is a concept in algebraic geometry and moduli theory that provides a way to study the deformation theory of algebraic varieties using perfect complexes. It extends the classical deformation theory by incorporating derived algebraic geometry and coherent sheaves. In more technical terms, perfect obstruction theory provides a framework to systematically track how certain geometric objects (like schemes or varieties) can be "deformed" within a moduli space.

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