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

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

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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Bibliographic Details
Main Author: Degtyarev, A. (Alexander), 1962- (Author)
Format: eBook
Language:English
Published: Berlin ; Boston : De Gruyter, [2012]
Series:De Gruyter studies in mathematics ; 44.
Subjects:
Curves, Plane.
Topological degree.
MATHEMATICS > Geometry > Algebraic.
Curves, Plane
Topological degree
Algebraische Kurve
Topologische Graphentheorie
Online Access:Click for online access

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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. 
650 0 |a Curves, Plane. 
650 0 |a Topological degree. 
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.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=893833  |y Click for online access 
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. 
903 |a EBC-AC 
994 |a 92  |b HCD 

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