Topology of Algebraic Curves : An Approach Via Dessins D'Enfants
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| Title: | Topology of Algebraic Curves : An Approach Via Dessins D'Enfants |
|---|---|
| Description: | 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. |
| Authors: | Alex Degtyarev |
| Resource Type: | eBook. |
| Subjects: | Topological degree, Curves, Plane |
| Categories: | MATHEMATICS / Topology, MATHEMATICS / Algebra / General, MATHEMATICS / Geometry / General |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
|---|---|
| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 494251 RelevancyScore: 1044 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1044.26904296875 |
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| Items | – Name: Title Label: Title Group: Ti Data: Topology of Algebraic Curves : An Approach Via Dessins D'Enfants – Name: Abstract Label: Description Group: Ab Data: 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. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Alex+Degtyarev%22">Alex Degtyarev</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Topological+degree%22">Topological degree</searchLink><br /><searchLink fieldCode="DE" term="%22Curves%2C+Plane%22">Curves, Plane</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Topology%22">MATHEMATICS / Topology</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+General%22">MATHEMATICS / Algebra / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+General%22">MATHEMATICS / Geometry / General</searchLink> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=494251 |
| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 516.352 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Topological degree Type: general – SubjectFull: Curves, Plane Type: general Titles: – TitleFull: Topology of Algebraic Curves : An Approach Via Dessins D'Enfants Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Alex Degtyarev – PersonEntity: Name: NameFull: Alex Degtyarev IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2012 – D: 04 M: 02 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9783110255911 – Type: isbn-electronic Value: 9783110258424 Numbering: – Type: volume Value: 00044 Titles: – TitleFull: Topology of Algebraic Curves : An Approach Via Dessins D'Enfants Type: main |
| ResultId | 1 |
