Arcs and resolution of singularities

dc.creatorNicaise, Johannes
dc.date2004-02-06
dc.date.accessioned2026-07-07T05:05:12Z
dc.date.available2026-07-07T05:05:12Z
dc.descriptionFor a certain class of varieties X, we derive a formula for the valuation d_{X} on the arc space L(Y) of a smooth ambient space Y, in terms of an embedded resolution of singularities. A simple transformation rule yields a formula for the geometric Poincare series. Furthermore, we prove that for this class of varieties, the arithmetic and the geometric Poincare series coincide. We also study the geometric valuation for plane curves.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0402101
dc.identifierhttp://arxiv.org/abs/math/0402101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70083
dc.subjectAlgebraic Geometry
dc.titleArcs and resolution of singularities
dc.typetext

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