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Topology of algebraic curves : an approach via dessins d'enfants /
The book summarizes the state and new results on the topology of trigonal curves in geometrically ruled surfaces. Emphasis is placed upon various applications of the theory to related areas, most notably singularplane curves of small degree, elliptic surfaces, and Lefschetz fibrations (both complex...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
[2012]
|
| Colección: | De Gruyter studies in mathematics ;
44. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Frontmatter
- Preface
- Contents
- Part I. Skeletons and dessins
- Chapter 1. Graphs
- Chapter 2. The groups [Gamma] and B3
- Chapter 3. Trigonal curves and elliptic surfaces
- Chapter 4. Dessins
- Chapter 5. The braid monodromy
- Part II. Applications
- Chapter 6. The metabelian invariants
- Chapter 7. A few simple computations
- Chapter 8. Fundamental groups of plane sextics
- Chapter 9. The transcendental lattice
- Chapter 10. Monodromy factorizations
- Appendices
- Appendix A. An algebraic complement
- Appendix B. Bigonal curves in [Sigma]d
- Appendix C. Computer implementations
- Appendix D. Definitions and notation
- Bibliography
- Index of figures
- Index of tables
- Index.