On the period-index problem in light of the section conjecture

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dc.creatorStix, Jakob
dc.date2008-02-28
dc.date.accessioned2026-07-07T09:23:43Z
dc.date.available2026-07-07T09:23:43Z
dc.descriptionPeriod and index of a curve $X/K$ over a $p$-adic local field $K$ such that the fundamental group $π_1(X/K)$ admits a splitting are shown to be powers of $p$. As a consequence, examples of curves over number fields are constructed where having sections is obstructed locally at a $p$-adic place. Hence the section conjecture holds for these curves as there are neither sections nor rational points.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0802.4125
dc.identifierhttp://arxiv.org/abs/0802.4125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155838
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14H30; 14G05
dc.titleOn the period-index problem in light of the section conjecture
dc.typetext

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