Kooperativer Bibliotheksverbund

UID:

Format: XVI, 393 S. : , graph. Darst.

ISBN: 3-11-025591-X , 978-3-11-025591-1

Series Statement: De Gruyter Studies in Mathematics 44

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-025842-4

Language: English

Subjects: Mathematics

Keywords: Algebraische Kurve ; Topologische Graphentheorie ; Verbraucherverhalten

URL: Inhaltstext

URL: Inhaltsverzeichnis

Author information: Degtjarev, Aleksandr, 1962-

UID:

Format: 1 online resource (409p.)

ISBN: 9783110258424

Series Statement: De Gruyter Studies in Mathematics, 44

Content: 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 singular plane 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.

Note: 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 , In English.

Additional Edition: ISBN 978-3-11-025591-1

Language: English

Subjects: Mathematics

DOI: 10.1515/9783110258424

URL: https://doi.org/10.1515/9783110258424

URL: https://doi.org/10.1515/9783110258424

URL: Cover

URL: https://doi.org/10.1515/9783110258424

URL: https://www.degruyter.com/isbn/9783110258424

URL: Cover

UID:

Format: 1 Online-Ressource (XVI, 393 Seiten)

ISBN: 9783110258424

Series Statement: De Gruyter Studies in Mathematics 44

Content: Biographical note: Alex Degtyarev, Bilkent University, Ankara, Turkey.

Content: 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.

Content: 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

Note: In English

Additional Edition: ISBN 9783110255911

Additional Edition: Erscheint auch als Druck-Ausgabe Degtjarev, Aleksandr, 1962 - Topology of algebraic curves Berlin [u.a.] : de Gruyter, 2012 ISBN 311025591X

Additional Edition: ISBN 9783110255911

Additional Edition: ISBN 9783110255911

Language: English

Subjects: Mathematics

Keywords: Algebraische Kurve ; Topologische Graphentheorie

DOI: 10.1515/9783110258424

URL: Volltext

URL: Volltext  (lizenzpflichtig)

URL: lizenzpflichtig

URL: Cover

URL: Inhaltstext

URL: Cover

Author information: Degtjarev, Aleksandr 1962-

UID:

Format: XVI, 393 Seiten , graph. Darst.

ISBN: 9783110255911 , 311025591X

Series Statement: De Gruyter studies in mathematics 44

Language: English

Keywords: Algebraische Kurve ; Topologie

UID:

Format: XVI, 393 S. , graph. Darst.

ISBN: 311025591X , 9783110255911

Series Statement: De Gruyter Studies in Mathematics 44

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-025842-4

Language: English

Subjects: Mathematics

Keywords: Algebraische Kurve ; Topologische Graphentheorie ; Verbraucherverhalten

URL: Inhaltstext

URL: Inhaltsverzeichnis

Author information: Degtjarev, Aleksandr 1962-

UID:

Format: XVI, 393 S. , Ill., graph. Darst. , 240 mm x 170 mm

ISBN: 311025591X , 9783110255911 , 9783110255911

Series Statement: De Gruyter studies in mathematics 44

Note: Literaturverz. S. [369] - 378

Additional Edition: ISBN 9783110258424

Additional Edition: Online-Ausg. Degtjarev, Aleksandr, 1962 - Topology of algebraic curves Berlin [u.a.] : De Gruyter, 2012 ISBN 9783110258424

Additional Edition: Erscheint auch als Online-Ausgabe Degtyarev, Alex Topology of Algebraic Curves Berlin/Boston : De Gruyter, Inc., 2012 ISBN 9783110258424

Additional Edition: Erscheint auch als Online-Ausgabe Degtjarev, Aleksandr, 1962 - Topology of algebraic curves Berlin : De Gruyter, 2012 ISBN 9783110258424

Language: English

Subjects: Mathematics

Keywords: Algebraische Kurve ; Topologische Graphentheorie

URL: Inhaltsverzeichnis

URL: Inhaltstext

URL: Inhaltstext

Author information: Degtjarev, Aleksandr 1962-

UID:

Format: 1 Online-Ressource

ISBN: 9783110255911 , 311025591X , 9783110258424

Series Statement: De Gruyter studies in mathematics 44

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-11-025591-1

Language: English

Subjects: Economics , Mathematics , Psychology

Keywords: Algebraische Kurve ; Topologische Graphentheorie ; Verbraucherverhalten

DOI: 10.1515/9783110258424

URL: Volltext

URL: Volltext  (URL des Erstveröffentlichers)

Author information: Degtjarev, Aleksandr 1962-

UID:

Format: 1 online resource (409p.)

ISBN: 9783110258424

Series Statement: De Gruyter Studies in Mathematics, 44

Content: 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 singular plane 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.

Note: 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 , In English.

Additional Edition: ISBN 978-3-11-025591-1

Language: English

DOI: 10.1515/9783110258424

URL: https://doi.org/10.1515/9783110258424

UID:

Format: XIII, 211 S. : , Ill., graph. Darst.

ISBN: 978-3-11-025591-1 , 978-1-4614-2157-3

Series Statement: International series on consumer science

Language: English

Subjects: Economics , Psychology

Keywords: Verbraucherverhalten ; Algebraische Kurve ; Topologische Graphentheorie

UID:

Format: 1 online resource (412 p.)

Edition: 1st ed.

ISBN: 9786613940186 , 1-283-62773-6 , 3-11-220412-3

Series Statement: De Gruyter studies in mathematics, 44

Content: 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 fibrations (both complex and real), and Hurwitz equivalence of braid monodromy factorizations. The approach relies on a close relation between trigonal curves/elliptic surfaces, a certain class of ribbon graphs, and subgroups of the modular group, which provides a combinatorial framework for the study of geometric objects. A brief summary of the necessary auxiliary results and techniques used and a background of the principal problems dealt with are included in the text. The book is intended to researchers and graduate students in the field of topology of complex and real algebraic varieties.

Note: Description based upon print version of record. , Front matter -- , 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 , Issued also in print. , English

Additional Edition: ISBN 3-11-025842-0

Additional Edition: ISBN 3-11-025591-X

Language: English

Subjects: Mathematics

DOI: 10.1515/9783110258424