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Resolution of Singularities 1860–1999

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Resolution of Singularities

Part of the book series: Progress in Mathematics ((PM,volume 181))

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Abstract

This account shall serve as a quick guide to the historical development, the main contributors and the basic notions in the context of resolution of singularities. For detailed information we give references to the literature for each item. The presentation, which is necessarily subjective, does not claim completeness or utmost rigor. It shall merely help the reader to access the field and to find further sources. We are very indebted to A. Quirós and the referees for a careful reading of earlier drafts and many suggestions and improvements. The photograph of Zariski was kindly made available by the Archive of the Mathematisches Forschungsinstitut Oberwolfach. The drawings of Abhyankar, Hironaka and Lipman were realized by Maria Alberich and Joaquim Roé during the Working Week at Obergurgl.

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  1. Mathematisches Institut, Universität Innsbruck, Innsbruck, A-6020, Austria

    Herwig Hauser

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  1. Institut für Mathematik, Universität Innsbruck, Innsbruck, A-6020, Österreich

    Herwig Hauser

  2. Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA

    Joseph Lipman

  3. Department of Mathematics, Universiteit Utrecht, Utrecht, 3508 TA, The Netherlands

    Frans Oort

  4. Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, 28049, Spain

    Adolfo Quirós

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Hauser, H. (2000). Resolution of Singularities 1860–1999. In: Hauser, H., Lipman, J., Oort, F., Quirós, A. (eds) Resolution of Singularities. Progress in Mathematics, vol 181. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8399-3_2

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