On function fields with free absolute Galois groups

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dc.creatorHarbater, David
dc.date2006-08-23
dc.date.accessioned2026-07-07T07:22:05Z
dc.date.available2026-07-07T07:22:05Z
dc.descriptionWe prove that certain fields have the property that their absolute Galois groups are free as profinite groups: the function field of a real curve with no real points; the maximal abelian extension of a 2-variable Laurent series field over a separably closed field; and the maximal abelian extension of the function field of a curve over a finite field. These results are related to generalizations of Shafarevich's conjecture.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0608584
dc.identifierhttp://arxiv.org/abs/math/0608584
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115532
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject12E30; 14H30
dc.titleOn function fields with free absolute Galois groups
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