Topology of algebraic curves : an approach via dessins d'enfants /

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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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Degtyarev, A. (Alexander), 1962- (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin ; Boston : De Gruyter, [2012]
Collection:De Gruyter studies in mathematics ; 44.
Sujets:
Curves, Plane.
Topological degree.
Algebra.
Surfaces.
Topology.
Courbes planes.
Degré topologique.
MATHEMATICS > Geometry > Algebraic.
Curves, Plane
Topological degree
Algebraische Kurve
Topologische Graphentheorie
Accès en ligne:Texto completo
Table des matières:
  • 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.

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