On the geometry of p-typical covers in characteristic p

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dc.creatorKedlaya, Kiran S.
dc.date2005-01-30
dc.date2006-01-16
dc.date.accessioned2026-07-07T06:39:22Z
dc.date.available2026-07-07T06:39:22Z
dc.descriptionA p-typical cover of a connected scheme on which p=0 is a finite etale cover whose monodromy group (i.e., the Galois group of its normal closure) is a p-group. The geometry of such covers exhibits some unexpectedly pleasant behaviors; building on work of Katz, we demonstrate some of these. These include a criterion for when a morphism induces an isomorphism of the p-typical quotients of the etale fundamental groups, and a decomposition theorem for p-typical covers of polynomial rings over an algebraically closed field.
dc.description25 pages; v3: refereed version
dc.identifierhttps://arxiv.org/abs/math/0501541
dc.identifierhttp://arxiv.org/abs/math/0501541
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101051
dc.subjectAlgebraic Geometry
dc.subject14F35
dc.titleOn the geometry of p-typical covers in characteristic p
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