Structure of the moduli stack of one-dimensional formal A-modules

Details Structure of the moduli stack of one-dimensional formal A-modules Structure of the moduli stack of one-dimensional formal A-modules

2010-05-02

arxiv.org/abs/1005.0119v4

Mathematics

Algebraic Topology

Scientific paper

We prove right unit and coproduct formulas and a Landweber-type classification of invariant prime ideals in the Hopf algebroid classifying formal A-modules, when A is a p-adic number ring; this implies a purity result for the A-height stratification on the moduli stack of one-dimensional formal A-modules. We also compute a presentation, including a coproduct formula, for the Morava stabilizer algebras for formal A-modules, i.e., the Hopf algebras co-representing the automorphism group schemes of each positive, finite A-height formal A-modules. In future work we apply these results to the computation of the cohomology of large-height Morava stabilizer groups.

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