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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 |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
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| 003 | OCoLC | ||
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| 100 | 1 | |a Degtyarev, A. |q (Alexander), |d 1962- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjxwvHTmj8HbtCdRbctHYP | |
| 245 | 1 | 0 | |a Topology of algebraic curves : |b an approach via dessins d'enfants / |c Alex Degtyarev. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2012] | |
| 264 | 4 | |c ©2012 | |
| 300 | |a 1 online resource (xvi, 393 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 380 | |a Bibliography | ||
| 490 | 1 | |a De Gruyter studies in mathematics, |x 0179-0986 ; |v 44 | |
| 504 | |a Includes bibliographical references (pages 369-378) and indexes. | ||
| 520 | |a 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. | ||
| 546 | |a In English. | ||
| 505 | 0 | 0 | |6 880-01 |t Frontmatter -- |t Preface -- |t Contents -- |t Part I. Skeletons and dessins -- |t Chapter 1. Graphs -- |t Chapter 2. The groups [Gamma] and B3 -- |t Chapter 3. Trigonal curves and elliptic surfaces -- |t Chapter 4. Dessins -- |t Chapter 5. The braid monodromy -- |t Part II. Applications -- |t Chapter 6. The metabelian invariants -- |t Chapter 7. A few simple computations -- |t Chapter 8. Fundamental groups of plane sextics -- |t Chapter 9. The transcendental lattice -- |t Chapter 10. Monodromy factorizations -- |t Appendices -- |t Appendix A. An algebraic complement -- |t Appendix B. Bigonal curves in [Sigma]d -- |t Appendix C. Computer implementations -- |t Appendix D. Definitions and notation -- |t Bibliography -- |t Index of figures -- |t Index of tables -- |t Index. |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Curves, Plane. | |
| 650 | 0 | |a Topological degree. | |
| 650 | 4 | |a Algebra. | |
| 650 | 4 | |a Surfaces. | |
| 650 | 4 | |a Topology. | |
| 650 | 6 | |a Courbes planes. | |
| 650 | 6 | |a Degré topologique. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 7 | |a Curves, Plane |2 fast | |
| 650 | 7 | |a Topological degree |2 fast | |
| 650 | 7 | |a Algebraische Kurve |2 gnd | |
| 650 | 7 | |a Topologische Graphentheorie |2 gnd | |
| 776 | 0 | 8 | |i Print version: |z 9783110255911 |z 311025591X |w (DLC) 2012006099 |w (OCoLC)780161502 |
| 830 | 0 | |a De Gruyter studies in mathematics ; |v 44. |x 0179-0986 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=893833 |z Texto completo |
| 880 | 0 | 0 | |6 505-01/(S |t Frontmatter -- |t Preface -- |t Contents -- |t Part I. Skeletons and dessins -- |t Chapter 1. Graphs -- |t Chapter 2. The groups Γ and B3 -- |t Chapter 3. Trigonal curves and elliptic surfaces -- |t Chapter 4. Dessins -- |t Chapter 5. The braid monodromy -- |t Part II. Applications -- |t Chapter 6. The metabelian invariants -- |t Chapter 7. A few simple computations -- |t Chapter 8. Fundamental groups of plane sextics -- |t Chapter 9. The transcendental lattice -- |t Chapter 10. Monodromy factorizations -- |t Appendices -- |t Appendix A. An algebraic complement -- |t Appendix B. Bigonal curves in Σd -- |t Appendix C. Computer implementations -- |t Appendix D. Definitions and notation -- |t Bibliography -- |t Index of figures -- |t Index of tables -- |t Index. |
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