The Grothendieck theory of dessins d'enfants:
Dessins d'Enfants are combinatorial objects, namely drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1994
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| Schriftenreihe: | London Mathematical Society lecture note series
200 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | Dessins d'Enfants are combinatorial objects, namely drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The study of this group via such realted combinatorial methods as its action on the Dessins and on certain fundamental groups of moduli spaces was initiated by Alexander Grothendieck in his unpublished Esquisse d'un Programme, and developed by many of the mathematicians who have contributed to this volume. The various articles here unite all of the basics of the subject as well as the most recent advances. Researchers in number theory, algebraic geometry or related areas of group theory will find much of interest in this book |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (368 pages) |
| ISBN: | 9780511569302 |
| DOI: | 10.1017/CBO9780511569302 |
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| 245 | 1 | 0 | |a The Grothendieck theory of dessins d'enfants |c edited by Leila Schneps |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Noncongruence Subgroups, Covers and Drawings / B. Birch -- Dessins d'enfants on the Riemann sphere / L. Schneps -- Dessins from a geometric point of view / J.-M. Couveignes and L. Granboulan -- Maps, Hypermaps and Triangle Groups / G. Jones and D. Singerman -- Fields of definition of some three point ramified field extensions / G. Malle -- On the classification of plane trees by their Galois orbit / G. Shabat -- Triangulations / M. Bauer and C. Itzykson -- Dessins d'enfant and Shimura varieties / P. Cohen -- Horizontal divisors on arithmetic surfaces associated with Belyi uniformizations / Y. Ihara -- Algebraic representation of the Teichmuller spaces / K. Saito -- On the embedding of Gal[actual symbol not reproducible] into [actual symbol not reproducible] / Y. Ihara -- Appendix: The action of the absolute Galois group on the moduli spaces of spheres with four marked points / M. Emsalem and P. Lochak | |
| 520 | |a Dessins d'Enfants are combinatorial objects, namely drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The study of this group via such realted combinatorial methods as its action on the Dessins and on certain fundamental groups of moduli spaces was initiated by Alexander Grothendieck in his unpublished Esquisse d'un Programme, and developed by many of the mathematicians who have contributed to this volume. The various articles here unite all of the basics of the subject as well as the most recent advances. Researchers in number theory, algebraic geometry or related areas of group theory will find much of interest in this book | ||
| 650 | 4 | |a Dessins d'enfants (Mathematics) | |
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Datensatz im Suchindex
| _version_ | 1804176883156254720 |
|---|---|
| any_adam_object | |
| author2 | Schneps, Leila |
| author2_role | edt |
| author2_variant | l s ls |
| author_facet | Schneps, Leila |
| building | Verbundindex |
| bvnumber | BV043941433 |
| classification_rvk | SI 320 SK 240 SK 370 |
| collection | ZDB-20-CBO |
| contents | Noncongruence Subgroups, Covers and Drawings / B. Birch -- Dessins d'enfants on the Riemann sphere / L. Schneps -- Dessins from a geometric point of view / J.-M. Couveignes and L. Granboulan -- Maps, Hypermaps and Triangle Groups / G. Jones and D. Singerman -- Fields of definition of some three point ramified field extensions / G. Malle -- On the classification of plane trees by their Galois orbit / G. Shabat -- Triangulations / M. Bauer and C. Itzykson -- Dessins d'enfant and Shimura varieties / P. Cohen -- Horizontal divisors on arithmetic surfaces associated with Belyi uniformizations / Y. Ihara -- Algebraic representation of the Teichmuller spaces / K. Saito -- On the embedding of Gal[actual symbol not reproducible] into [actual symbol not reproducible] / Y. Ihara -- Appendix: The action of the absolute Galois group on the moduli spaces of spheres with four marked points / M. Emsalem and P. Lochak |
| ctrlnum | (ZDB-20-CBO)CR9780511569302 (OCoLC)849881402 (DE-599)BVBBV043941433 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511569302 |
| format | Electronic eBook |
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| id | DE-604.BV043941433 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:15Z |
| institution | BVB |
| isbn | 9780511569302 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350403 |
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| physical | 1 online resource (368 pages) |
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| publishDate | 1994 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | The Grothendieck theory of dessins d'enfants edited by Leila Schneps Cambridge Cambridge University Press 1994 1 online resource (368 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 200 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Noncongruence Subgroups, Covers and Drawings / B. Birch -- Dessins d'enfants on the Riemann sphere / L. Schneps -- Dessins from a geometric point of view / J.-M. Couveignes and L. Granboulan -- Maps, Hypermaps and Triangle Groups / G. Jones and D. Singerman -- Fields of definition of some three point ramified field extensions / G. Malle -- On the classification of plane trees by their Galois orbit / G. Shabat -- Triangulations / M. Bauer and C. Itzykson -- Dessins d'enfant and Shimura varieties / P. Cohen -- Horizontal divisors on arithmetic surfaces associated with Belyi uniformizations / Y. Ihara -- Algebraic representation of the Teichmuller spaces / K. Saito -- On the embedding of Gal[actual symbol not reproducible] into [actual symbol not reproducible] / Y. Ihara -- Appendix: The action of the absolute Galois group on the moduli spaces of spheres with four marked points / M. Emsalem and P. Lochak Dessins d'Enfants are combinatorial objects, namely drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The study of this group via such realted combinatorial methods as its action on the Dessins and on certain fundamental groups of moduli spaces was initiated by Alexander Grothendieck in his unpublished Esquisse d'un Programme, and developed by many of the mathematicians who have contributed to this volume. The various articles here unite all of the basics of the subject as well as the most recent advances. Researchers in number theory, algebraic geometry or related areas of group theory will find much of interest in this book Dessins d'enfants (Mathematics) Zellabbildung (DE-588)4194416-1 gnd rswk-swf Riemannsche Fläche (DE-588)4049991-1 gnd rswk-swf Zellabbildung (DE-588)4194416-1 s Riemannsche Fläche (DE-588)4049991-1 s 1\p DE-604 Schneps, Leila edt Erscheint auch als Druckausgabe 978-0-521-47821-2 https://doi.org/10.1017/CBO9780511569302 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | The Grothendieck theory of dessins d'enfants Noncongruence Subgroups, Covers and Drawings / B. Birch -- Dessins d'enfants on the Riemann sphere / L. Schneps -- Dessins from a geometric point of view / J.-M. Couveignes and L. Granboulan -- Maps, Hypermaps and Triangle Groups / G. Jones and D. Singerman -- Fields of definition of some three point ramified field extensions / G. Malle -- On the classification of plane trees by their Galois orbit / G. Shabat -- Triangulations / M. Bauer and C. Itzykson -- Dessins d'enfant and Shimura varieties / P. Cohen -- Horizontal divisors on arithmetic surfaces associated with Belyi uniformizations / Y. Ihara -- Algebraic representation of the Teichmuller spaces / K. Saito -- On the embedding of Gal[actual symbol not reproducible] into [actual symbol not reproducible] / Y. Ihara -- Appendix: The action of the absolute Galois group on the moduli spaces of spheres with four marked points / M. Emsalem and P. Lochak Dessins d'enfants (Mathematics) Zellabbildung (DE-588)4194416-1 gnd Riemannsche Fläche (DE-588)4049991-1 gnd |
| subject_GND | (DE-588)4194416-1 (DE-588)4049991-1 |
| title | The Grothendieck theory of dessins d'enfants |
| title_auth | The Grothendieck theory of dessins d'enfants |
| title_exact_search | The Grothendieck theory of dessins d'enfants |
| title_full | The Grothendieck theory of dessins d'enfants edited by Leila Schneps |
| title_fullStr | The Grothendieck theory of dessins d'enfants edited by Leila Schneps |
| title_full_unstemmed | The Grothendieck theory of dessins d'enfants edited by Leila Schneps |
| title_short | The Grothendieck theory of dessins d'enfants |
| title_sort | the grothendieck theory of dessins d enfants |
| topic | Dessins d'enfants (Mathematics) Zellabbildung (DE-588)4194416-1 gnd Riemannsche Fläche (DE-588)4049991-1 gnd |
| topic_facet | Dessins d'enfants (Mathematics) Zellabbildung Riemannsche Fläche |
| url | https://doi.org/10.1017/CBO9780511569302 |
| work_keys_str_mv | AT schnepsleila thegrothendiecktheoryofdessinsdenfants |