Generically finite morphisms and formal neighborhoods of arcs

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dc.creatorEin, Lawrence
dc.creatorMustata, Mircea
dc.date2007-08-29
dc.date2008-09-12
dc.date.accessioned2026-07-07T10:02:06Z
dc.date.available2026-07-07T10:02:06Z
dc.descriptionWe show that given a dominant morphism between two smooth varieties of the same dimension, the induced morphism between the formal neighborhoods of two arcs on these varieties is a closed embedding, of codimension given by the order of vanishing along the ramification subscheme.
dc.description6 pages; final version, to appear in the Proceedings of the IV Iberoamerican Conference on Complex Geometry
dc.identifierhttps://arxiv.org/abs/0708.3880
dc.identifierhttp://arxiv.org/abs/0708.3880
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168856
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14B10 (Primary) 14B20 (Secondary)
dc.titleGenerically finite morphisms and formal neighborhoods of arcs
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