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

@article{citeulike:4182504, abstract = {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.}, archivePrefix = {arXiv}, author = {Kurdyka, Krzysztof and Parusinski, Adam}, citeulike-article-id = {4182504}, citeulike-linkout-0 = {http://arxiv.org/abs/0903.2368}, citeulike-linkout-1 = {http://arxiv.org/pdf/0903.2368}, day = {13}, eprint = {0903.2368}, keywords = {complex\_analysis, o-minimal}, month = {Mar}, posted-at = {2009-03-16 15:00:53}, priority = {2}, title = {On the non-analyticity locus of an arc-analytic function}, url = {http://arxiv.org/abs/0903.2368}, year = {2009} }

TY - JOUR ID - citeulike:4182504 L3 - citeulike-article-id:4182504 N2 - 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. TI - On the non-analyticity locus of an arc-analytic function KW - complex_analysis KW - o-minimal AU - Kurdyka, Krzysztof AU - Parusinski, Adam PY - 2009/Mar/13/ UR - http://arxiv.org/abs/0903.2368 ER -