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Complete intersections and rational homotopy theory

2009/06/17 by Greenlees, J. P. C., Hess, K., Shamir, S.
#13C40 #55P62 #Algebraic Topology (math.AT) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0906.3247

Abstract

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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