This can be the 1st a part of the complaints 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 occasion of the sixtieth Birthday of Le Dung Trang.This quantity includes fourteen state of the art learn articles on algebraic and analytic features of singularities of areas and maps. by means of studying 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 likewise discover a wealthy resource of questions and difficulties for destiny examine.

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