Raynaud's group-scheme and reduction of coverings

dc.creatorAbramovich, Dan
dc.creatorLubin, Jonathan
dc.date2003-04-23
dc.date2006-01-04
dc.date.accessioned2026-07-07T12:50:36Z
dc.date.available2026-07-07T12:50:36Z
dc.descriptionThe structure of the reduction of an admissible $G$-covering $Y \to X$ at primes $p$ dividing $|G|$ is investigated. Assume $|G|$ is not divisible by $p^2$ and the $p$-Sylow group is normal. Following Raynaud it is shown that there is a group scheme $\cG$ over the smooth locus of $X$ for which $Y$ is still a principal bundle away from the special points. A structure at the nodes involving Artin twisted curves is discussed.
dc.descriptionResults much improved thanks to computations of Romagny, hopefully leading to complete moduli space in joint work in the near future. Added appendix by Lubin, of which this is the fun version. If you want to see the master working in Lubin Tate theory read this - the published version, he threatens, will be cut and dry
dc.identifierhttps://arxiv.org/abs/math/0304352
dc.identifierhttp://arxiv.org/abs/math/0304352
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222729
dc.subjectAlgebraic Geometry
dc.subject14H10; 14H25; 14H30
dc.titleRaynaud's group-scheme and reduction of coverings
dc.typetext

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