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Five Definitions of Critical Point at Infinity

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Singularities

Part of the book series: Progress in Mathematics ((PM,volume 162))

Abstract

This survey paper discusses five equivalent ways of defining a “critical point at infinity” for a complex polynomial of two variables.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Mount Holyoke College, South Hadley, MA, 01075, USA

    Alan H. Durfee

Authors
  1. Alan H. Durfee
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Editor information

Editors and Affiliations

  1. Department of Geometry and Topology, Steklov Mathematical Institute, 8, Gubkina Stree, 117966, Moscow GSP-1, Russia

    V. I. Arnold

  2. CEREMADE, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, Postfach 3049, F-75775, Paris Cedex 16e, France

    V. I. Arnold

  3. Fachbereich Mathematik, Universität Kaiserslautern, D-67653, Kaiserslautern, Germany

    G.-M. Greuel

  4. Subfaculteit Wiskunde, Katholieke Universiteit Nijmegen Toernooiveld, NL-6525 ED, Nijmegen, The Netherlands

    J. H. M. Steenbrink

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© 1998 Springer Basel AG

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Durfee, A.H. (1998). Five Definitions of Critical Point at Infinity. In: Arnold, V.I., Greuel, GM., Steenbrink, J.H.M. (eds) Singularities. Progress in Mathematics, vol 162. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8770-0_17

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  • DOI: https://doi.org/10.1007/978-3-0348-8770-0_17

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9767-9

  • Online ISBN: 978-3-0348-8770-0

  • eBook Packages: Springer Book Archive

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