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MSRI Publications -- Volume 35

The Eightfold Way: The Beauty of Klein's Quartic Curve

Edited by Silvio Levy

Contents

Table of Contents
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Preface: MSRI and the Klein Quartic
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The Eightfold Way: A Mathematical Sculpture by Helaman Ferguson, by William P. Thurston, 1-7
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The Geometry of Klein's Riemann Surface, by Hermann Karcher and Matthias Weber, 9-49
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The Klein Quartic in Number Theory, by Noam Elkies, 51-101
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Hurwitz Groups and Surfaces, by A. Murray Macbeath, 103-113
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From the History of a Simple Group, by Jeremy Gray, 115-131 (reprinted from The Mathematical Intelligencer)
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Eightfold Way: The Sculpture, by Helaman and Claire Ferguson, 132-173 plus 4 color pages
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Invariants of SL₂(F_q) Aut(F_q) Acting on Cⁿ for q = 2n $\pm$ 1, by Allan Adler, 175-219
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Hirzebruch's Curves F₁, F₂, F₄, F₁₄, F₂₈ for Q(7^1/2), by Allan Adler, 221-285
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On the Order-Seven Transformation of Elliptic Functions, by Felix Klein (translated by Silvio Levy), 287-331
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