Analytic equivalence of normal crossing functions on a real analytic manifold

作者：Fichou Goulwen^*; Shiota Masahiro

来源：Proceedings of the London Mathematical Society, 2012, 104(6): 1121-1170.

DOI：10.1112/plms/pdr064

By Hironaka Desingularization Theorem, any real analytic function has only normal crossing singularities after a modification. We focus on the analytic equivalence of such functions with only normal crossing singularities. We prove that for such functions C-infinity right equivalence implies analytic equivalence. We prove moreover that the cardinality of the set of equivalence classes is zero or countable.

• 出版日期2012-6