"Brave New" Algebraic Geometry and global derived moduli spaces of ring spectra

Simple item page
dc.creatorToen, Bertrand
dc.creatorVezzosi, Gabriele
dc.date2003-09-08
dc.date2004-06-29
dc.date.accessioned2026-07-07T05:00:57Z
dc.date.available2026-07-07T05:00:57Z
dc.descriptionWe develop homotopical algebraic geometry (see math.AG/0207028) in the special context where the base symmetric monoidal model category is the category S of spectra, i.e. what might be called, after Waldhausen, ``brave new algebraic geometry''. We discuss various model topologies on the model category of commutative algebras in S, the associated theories of geometric S-stacks (a geometric S-stack being an analog of Artin notion of algebraic stack in Algebraic Geometry), and finally show how to define global moduli spaces of associative ring spectra structures and a moduli space related to topological modular forms as geometric S-stacks.
dc.description29 pages; some corrections and a new section
dc.identifierhttps://arxiv.org/abs/math/0309145
dc.identifierhttp://arxiv.org/abs/math/0309145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68508
dc.subjectAlgebraic Topology
dc.subjectAlgebraic Geometry
dc.subject55P43; 14A20; 18G55; 55U40
dc.title"Brave New" Algebraic Geometry and global derived moduli spaces of ring spectra
dc.typetext

Files

Collections

arXiv