Abstract
This chapter discusses a topic which was studied from various points of view throughout the nineteenth century and which presented itself in such different guises as: the 28 bitangents to a quartic curve, the study of a Riemann surface of genus 3 and its group of automorphisms, and the reduction of the modular equation of degree 8. These studies, which began separately, were drawn together by Klein in 1878 and proved crucial to his discovery of automorphic functions.
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© 2008 Birkhäuser Boston
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(2008). Some Algebraic Curves. In: Linear Differential Equations and Group Theory from Riemann to Poincaré. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4773-5_5
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DOI: https://doi.org/10.1007/978-0-8176-4773-5_5
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4772-8
Online ISBN: 978-0-8176-4773-5
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