On the non-analyticity locus of an arc-analytic function

Simple item page
dc.creatorKurdyka, Krzysztof
dc.creatorParusinski, Adam
dc.date2009-03-13
dc.date.accessioned2026-07-07T12:52:22Z
dc.date.available2026-07-07T12:52:22Z
dc.descriptionIn this paper we show that the non-analyticity locus of an arc-analytic function is arc-symmetric. Recall that a function is called arc-analytic if it is real analytic on each real analytic arc. By a result of Bierstone and Milman a big class of arc-analytic function, namely those that satisfy a polynomial equation with real analytic coefficients, can be made analytic by a sequence of global blowings-up with smooth centers. We show that these centers can be chosen, at each stage of the resolution, inside the non-analyticity locus.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0903.2368
dc.identifierhttp://arxiv.org/abs/0903.2368
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223273
dc.subjectAlgebraic Geometry
dc.subject14Pxx, 32S45, 32B20
dc.titleOn the non-analyticity locus of an arc-analytic function
dc.typetext

Files

Collections

arXiv