On the moduli stack of commutative, 1-parameter formal Lie groups

Details On the moduli stack of commutative, 1-parameter formal Lie groups On the moduli stack of commutative, 1-parameter formal Lie groups

2007-08-24

arxiv.org/abs/0708.3326v3

Mathematics

Algebraic Geometry

69 pages; submitted for publication. This version is slightly condensed and reorganized from the previous one, and much of the

Scientific paper

We attempt to develop a general algebro-geometric study of the moduli stack of commutative, 1-parameter formal Lie groups. We emphasize the pro-algebraic structure of this stack: it is the inverse limit, over varying n, of moduli stacks of n-buds, and these latter stacks are algebraic. Our main results pertain to aspects of the height stratification relative to fixed prime p on the stacks of buds and formal Lie groups. We conclude with a largely expository account of some foundational material on limits in bicategories.

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