The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry.

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'The book under review is a new edition of the authors' celebrated research monograph ... which must be seen as one of the milestones in contemporary algebraic and complex-analytic geometry ... No doubt, this classic will maintain its outstanding role in algebraic geometry, Hermitian differential geometry, group representation theory, and arithmetic geometry also in the future, especially for active researchers and graduate students in these related areas of contemporary pure mathematics. In this regard, the present new edition of it is certainly more than welcome.' Zentralblatt MATH

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