Fragments of a History of the Concept of Ideal. Poncelet's and Chasles's Reflections on Generality in Geometry and Their Impact on Kummer's Work with Ideal Divisors

In this essay, I argue for the following theses. First, Kummer's concept of ''ideal prime factors of a complex number'' was inspired by Poncelet's introduction of ideal elements in geometry as well as by the reconceptualization that Michel Chasles put forward for them i...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Author: Chemla, Karine
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212354
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Fragments of a History of the Concept of Ideal. Poncelet's and Chasles's Reflections on Generality in Geometry and Their Impact on Kummer's Work with Ideal Divisors. Karine Chemla. SIGMA 20 (2024), 066, 37 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine