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Alterations and Resolution of Singularities

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Resolution of Singularities

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

Abstract

On July 26, 1995, at the University of California, Santa Cruz, a young Dutch mathematician by the name Aise Johan de Jong made a revolution in the study of the arithmetic, geometry and cohomology theory of varieties in positive or mixed characteristic. The talk he delivered, first in a series of three entitled “Dominating Varieties by Smooth Varieties”, had a central theme: a systematic application of fibrations by nodal curves. Among the hundreds of awe-struck members of the audience, participants of the American Mathematical Society Summer Research Institute on Algebraic Geometry, many recognized the great potential of Johan de Jong’s ideas even for complex algebraic varieties, and indeed soon more results along these lines began to form.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Boston University, 111 Cummington Street Boston, MA, USA

    Dan Abramovich

  2. Mathematisch Instituut, University of Utrecht, Budapestlaan 6, Utrecht, TA, NL-3508, The Netherlands

    Frans Oort

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  1. Dan Abramovich
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  2. Frans Oort
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Editors and Affiliations

  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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Abramovich, D., Oort, F. (2000). Alterations and Resolution of Singularities. 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_3

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  • DOI: https://doi.org/10.1007/978-3-0348-8399-3_3

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9550-7

  • Online ISBN: 978-3-0348-8399-3

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