Topology of Algebraic Curves : : An Approach via Dessins d'Enfants /

Topology of Algebraic Curves : : An Approach via Dessins d'Enfants / / Alex Degtyarev.

This monograph summarizes and extends a number of results on the topology of trigonal curves in geometrically ruled surfaces. An emphasis is given to various applications of the theory to a few related areas, most notably singular plane curves of small degree, elliptic surfaces, and Lefschetz fibrat...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Degtyarev, Alex,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2012]
©2012
Year of Publication:2012
Language:English
Series:De Gruyter Studies in Mathematics , 44
Online Access:
Physical Description:1 online resource (393 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Part I. Skeletons and dessins
  • Chapter 1. Graphs
  • Chapter 2. The groups Γ 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 Σd
  • Appendix C. Computer implementations
  • Appendix D. Definitions and notation
  • Bibliography
  • Index of figures
  • Index of tables
  • Index

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