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

dc.creatorSmithling, Brian D.
dc.date2007-08-24
dc.date2007-09-28
dc.date.accessioned2026-07-07T08:32:29Z
dc.date.available2026-07-07T08:32:29Z
dc.descriptionWe 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.
dc.description69 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
dc.identifierhttps://arxiv.org/abs/0708.3326
dc.identifierhttp://arxiv.org/abs/0708.3326
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138809
dc.subjectAlgebraic Geometry
dc.subjectCategory Theory
dc.subject14L05 (Primary); 14D20, 18A30, 18D05 (Secondary)
dc.titleOn the moduli stack of commutative, 1-parameter formal Lie groups
dc.typetext

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