| Description |
1 online resource (xvi, 393 pages) : illustrations |
| Series |
De Gruyter studies in mathematics, 0179-0986 ; 44 |
|
De Gruyter studies in mathematics ; 44. 0179-0986
|
| Contents |
880-01 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 |
|
880-01/(S 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 |
| Summary |
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 and real), and Hurwitz equivalence of braid monodromy factorizations. The monograph conveys recent knowledge about related objects and is of interest to researchers and graduate students in the fields of topology and of complex and real algebraic varieties |
| Bibliography |
Includes bibliographical references (pages 369-378) and indexes |
| Notes |
In English |
| Subject |
Curves, Plane.
|
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Topological degree.
|
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MATHEMATICS -- Geometry -- Algebraic.
|
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Curves, Plane
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Topological degree
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Algebraische Kurve
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Topologische Graphentheorie
|
| Form |
Electronic book
|
| LC no. |
2012006099 |
| ISBN |
9783110258424 |
|
3110258420 |
|
9783110258424 |
|
9783112204122 |
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3112204123 |
|
9786613940186 |
|
6613940186 |
|
1283627736 |
|
9781283627733 |
|
