Stable reduction of curves and tame ramification

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dc.creatorHalle, Lars Halvard
dc.date2007-11-06
dc.date.accessioned2026-07-07T08:41:01Z
dc.date.available2026-07-07T08:41:01Z
dc.descriptionWe study stable reduction of curves in the case where a tamely ramified base extension is sufficient. If X is a smooth curve defined over the fraction field of a strictly henselian discrete valuation ring, there is a criterion, due to T. Saito, that describes precisely, in terms of the geometry of the minimal model with strict normal crossings of X, when a tamely ramified extension suffices in order for X to obtain stable reduction. For such curves we construct an explicit extension that realizes the stable reduction, and we furthermore show that this extension is minimal. We also obtain purely geometric proof of Saito's criterion, avoiding the use of vanishing cycles.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0711.0896
dc.identifierhttp://arxiv.org/abs/0711.0896
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141548
dc.subjectAlgebraic Geometry
dc.subject14D06
dc.titleStable reduction of curves and tame ramification
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