Introduction to moduli spaces of Riemann surfaces and tropical curves / Lizhen Ji, Eduard J. N. Looijenga
Type de document : MonographieCollection : Surveys of modern mathematics, 14Langue : anglais.Pays: Etats Unis.Éditeur : Somerville (Mass.) : International Press, cop. 2017Description : 1 vol. (221 p.) ; 26 cmISBN: 9781571463531.Bibliographie : Bibliogr. p. 86-87, 211-217, index.Sujet MSC : 14H15, Curves in algebraic geometry, Families, moduli of curves (analytic)14H55, Curves in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences
14T10, Algebraic geometry - Tropical geometry, Foundations of tropical geometry and relations with algebra
14H81, Curves in algebraic geometry, Relationships between algebraic curves and physics
30F20, Functions of a complex variable - Riemann surfaces, Classification theory of Riemann surfacesEn-ligne : Zentralblatt | MathSciNet
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 14 JI (Browse shelf(Opens below)) | Available | 12511-01 |
Bibliogr. p. 86-87, 211-217, index
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 (éditeur)
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