On the moduli stack of commutative, 1-parameter formal Lie groups
Algebraic Geometry
2007-09-28 v3 Category Theory
Abstract
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.
Cite
@article{arxiv.0708.3326,
title = {On the moduli stack of commutative, 1-parameter formal Lie groups},
author = {Brian D. Smithling},
journal= {arXiv preprint arXiv:0708.3326},
year = {2007}
}
Comments
69 pages; submitted for publication. This version is slightly condensed and reorganized from the previous one, and much of the introduction has been rewritten. There are no mathematical changes