Introduction to moduli spaces of Riemann surfaces and tropical curves

Bibliographic Information

Introduction to moduli spaces of Riemann surfaces and tropical curves

Lizhen Ji, Eduard Looijenga

(Surveys of modern mathematics, v. 14)

International Press , Higher Education Press, c2017

  • : [pbk.]

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Note

Includes bibliographical references (p. 211-217)

Description and Table of Contents

Description

The concept of Riemann surfaces was introduced in Riemann's thesis, and the moduli space of Riemann surfaces was defined by Riemann in a masterpiece a few years later. Due to a broad connection with many subjects in mathematics and physics, Riemann surfaces and their moduli spaces have been intensively studied and should continue to attract attention in years to come. Recently, there has been an explosion of interest in and work on tropical algebraic curves-analogues of algebraic curves over the complex numbers and hence of Riemann surfaces. This book is an accessible introduction to all these topics, with special emphasis given to their many connections with subjects such as algebraic geometry, complex analysis, hyperbolic geometry, topology, geometric group theory, and mathematical physics.

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Details

  • NCID
    BB2472986X
  • ISBN
    • 9781571463531
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Somerville, Mass.,Beijing
  • Pages/Volumes
    ii, iv, 221 p.
  • Size
    26 cm
  • Parent Bibliography ID
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