This can be the 1st a part of the lawsuits of the assembly 'School and Workshop at the Geometry and Topology of Singularities', held in Cuernavaca, Mexico, from January eighth to twenty sixth of 2007, in get together of the sixtieth Birthday of Le Dung Trang.This quantity comprises fourteen state-of-the-art study articles on algebraic and analytic facets of singularities of areas and maps. through interpreting this quantity, and the accompanying quantity on geometric and topological features of singularities, the reader should still achieve an appreciation for the intensity, breadth, and sweetness of the topic, and in addition discover a wealthy resource of questions and difficulties for destiny examine.

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