Resolution of singularities in Denjoy-Carleman classes

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dc.creatorBierstone, Edward
dc.creatorMilman, Pierre D.
dc.date2001-08-29
dc.date.accessioned2026-07-07T04:43:11Z
dc.date.available2026-07-07T04:43:11Z
dc.descriptionWe show that a version of the desingularization theorem of Hironaka holds for certain classes of infinitely differentiable functions (essentially, for subrings that exclude flat functions and are closed under differentiation and the solution of implicit equations). Examples are quasianalytic classes, introduced by E. Borel a century ago and characterized by the Denjoy-Carleman theorem. These classes have been poorly understood in dimension > 1. Resolution of singularities can be used to obtain many new results; for example, topological Noetherianity, Lojasiewicz inequalities, division properties.
dc.description35 pages, AMSTEX
dc.identifierhttps://arxiv.org/abs/math/0108204
dc.identifierhttp://arxiv.org/abs/math/0108204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62106
dc.subjectComplex Variables
dc.subjectAlgebraic Geometry
dc.subject26E10, 32S45, 58C25
dc.titleResolution of singularities in Denjoy-Carleman classes
dc.typetext

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