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arxiv: 0906.3247 · v2 · submitted 2009-06-17 · 🧮 math.AT · math.AC

Complete intersections and rational homotopy theory

classification 🧮 math.AT math.AC
keywords homotopycompleteconditionrationaltheoryalgebracommutativecontext
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We investigate various homotopy invariant formulations of commutative algebra in the context of rational homotopy theory. The main subject is the complete intersection condition, where we show that a growth condition implies a structure theorem and that modules have multiply periodic resolutions.

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