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

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In 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.
11 pages

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Algebraic Geometry, 14Pxx, 32S45, 32B20

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http://salesiana.dossiersoluciones.com/handle/123456789/223273

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.2368
 http://arxiv.org/abs/0903.2368

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arXiv