arXiv:0906.3247 Abstract | arXiv Analytics

arXiv:0906.3247 [math.AT]Abstract References Reviews Resources

Complete intersections and rational homotopy theory

Published 2009-06-17, updated 2010-06-10Version 2

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.

Comments: Version 2 corrects an error in Version 1. We give an example (13.4) showing that the zci condition is strictly stronger than the sci and gci conditions. We formulate the appropriate counterpart of eventual multiperiodicity condition (eci) which is equivalent to sci and gci (the proofs are essentially unchanged, but now the hypotheses are all satisfied)

Categories: math.AT, math.AC

Subjects: 55P62, 13C40

Keywords: rational homotopy theory, homotopy invariant formulations, complete intersection condition, growth condition implies, main subject

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