dc.contributor.author Kurdyka, Krzysztof dc.contributor.author Parusinski, Adam dc.date.accessioned 2009-03-20T12:00:26Z dc.date.accessioned 2016-10-05T14:14:10Z dc.date.available 2009-03-20T12:00:26Z dc.date.available 2016-10-05T14:14:10Z dc.date.issued 2009-02-21 dc.identifier.uri http://publications.mfo.de/handle/mfo/1138 dc.description Research in Pairs 2008 en_US dc.description.abstract A function is called arc-analytic if it is real analytic on each real analytic arc. In real analytic geometry there are many examples of arc-analytic functions that are not real analytic. Arc analytic functions appear while studying the arc-symmetric sets and the blow-analytic equivalence. In this paper we show that the non-analyticity locus of an arc-analytic function is arc-symmetric. We discuss also the behavior of the non-analyticity locus under blowings-up. 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. en_US dc.language.iso en en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2009,03 dc.title On the non-analyticity locus of an arc-analytic function en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2009-03 local.scientificprogram Research in Pairs 2008 local.series.id OWP-2009-03 local.subject.msc 14 local.subject.msc 32
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