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From Singularities to Graphs

In: When Form Becomes Substance

Author

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  • Patrick Popescu-Pampu

    (UMR 8524 - Laboratoire Paul Painlevé, University of Lille, CNRS)

Abstract

In this text I present some problems which led to the introduction of special kinds of graphs as tools for studying singular points of algebraic surfaces. I explain how such graphs were first described using words, and how several classification problems made it necessary to draw them, leading to the elaboration of a special kind of calculus with graphs. This non-technical paper is intended to be readable both by mathematicians and philosophers or historians of mathematics.

Suggested Citation

  • Patrick Popescu-Pampu, 2022. "From Singularities to Graphs," Springer Books, in: Luciano Boi & Carlos Lobo (ed.), When Form Becomes Substance, pages 231-263, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-83125-7_8
    DOI: 10.1007/978-3-030-83125-7_8
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