Introduction to compact Riemann surfaces and dessins d'enfants:
Few books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field of research. In this 2011 book, the authors begin with an elementary account of the theory...
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Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
2012
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Schriftenreihe: | London Mathematical Society student texts
79 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
Zusammenfassung: | Few books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field of research. In this 2011 book, the authors begin with an elementary account of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups of finite type. They then use this knowledge to introduce the reader to the theory of dessins d'enfants and its connection with algebraic curves defined over number fields. A large number of worked examples are provided to aid understanding, so no experience beyond the undergraduate level is required. Readers without any previous knowledge of the field of dessins d'enfants are taken rapidly to the forefront of current research |
Beschreibung: | 1 Online-Ressource (XII, 298 Seiten) |
ISBN: | 9781139048910 |
DOI: | 10.1017/CBO9781139048910 |
Internformat
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Datensatz im Suchindex
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any_adam_object | |
author | Girondo, Ernesto González-Diez, Gabino |
author_GND | (DE-588)1020210346 (DE-588)1020210508 |
author_facet | Girondo, Ernesto González-Diez, Gabino |
author_role | aut aut |
author_sort | Girondo, Ernesto |
author_variant | e g eg g g d ggd |
building | Verbundindex |
bvnumber | BV043940716 |
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ctrlnum | (ZDB-20-CBO)CR9781139048910 (OCoLC)992826737 (DE-599)BVBBV043940716 |
dewey-full | 515.93 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.93 |
dewey-search | 515.93 |
dewey-sort | 3515.93 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9781139048910 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:14Z |
institution | BVB |
isbn | 9781139048910 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349686 |
oclc_num | 992826737 |
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owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
physical | 1 Online-Ressource (XII, 298 Seiten) |
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publishDate | 2012 |
publishDateSearch | 2012 |
publishDateSort | 2012 |
publisher | Cambridge University Press |
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series2 | London Mathematical Society student texts |
spelling | Girondo, Ernesto (DE-588)1020210346 aut Introduction to compact Riemann surfaces and dessins d'enfants Ernesto Girondo, Gabino González-Diez Introduction to Compact Riemann Surfaces & Dessins d’Enfants Cambridge Cambridge University Press 2012 1 Online-Ressource (XII, 298 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 79 Few books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field of research. In this 2011 book, the authors begin with an elementary account of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups of finite type. They then use this knowledge to introduce the reader to the theory of dessins d'enfants and its connection with algebraic curves defined over number fields. A large number of worked examples are provided to aid understanding, so no experience beyond the undergraduate level is required. Readers without any previous knowledge of the field of dessins d'enfants are taken rapidly to the forefront of current research Riemann surfaces Dessins d'enfants (Mathematics) Graphfärbung (DE-588)4472286-2 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 gnd rswk-swf Kompakte Riemannsche Fläche (DE-588)4164852-3 gnd rswk-swf Kompakte Riemannsche Fläche (DE-588)4164852-3 s Graphfärbung (DE-588)4472286-2 s Algebraische Kurve (DE-588)4001165-3 s DE-604 González-Diez, Gabino (DE-588)1020210508 aut Erscheint auch als Druck-Ausgabe 978-0-521-51963-2 Erscheint auch als Druck-Ausgabe 978-0-521-74022-7 https://doi.org/10.1017/CBO9781139048910 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Girondo, Ernesto González-Diez, Gabino Introduction to compact Riemann surfaces and dessins d'enfants Riemann surfaces Dessins d'enfants (Mathematics) Graphfärbung (DE-588)4472286-2 gnd Algebraische Kurve (DE-588)4001165-3 gnd Kompakte Riemannsche Fläche (DE-588)4164852-3 gnd |
subject_GND | (DE-588)4472286-2 (DE-588)4001165-3 (DE-588)4164852-3 |
title | Introduction to compact Riemann surfaces and dessins d'enfants |
title_alt | Introduction to Compact Riemann Surfaces & Dessins d’Enfants |
title_auth | Introduction to compact Riemann surfaces and dessins d'enfants |
title_exact_search | Introduction to compact Riemann surfaces and dessins d'enfants |
title_full | Introduction to compact Riemann surfaces and dessins d'enfants Ernesto Girondo, Gabino González-Diez |
title_fullStr | Introduction to compact Riemann surfaces and dessins d'enfants Ernesto Girondo, Gabino González-Diez |
title_full_unstemmed | Introduction to compact Riemann surfaces and dessins d'enfants Ernesto Girondo, Gabino González-Diez |
title_short | Introduction to compact Riemann surfaces and dessins d'enfants |
title_sort | introduction to compact riemann surfaces and dessins d enfants |
topic | Riemann surfaces Dessins d'enfants (Mathematics) Graphfärbung (DE-588)4472286-2 gnd Algebraische Kurve (DE-588)4001165-3 gnd Kompakte Riemannsche Fläche (DE-588)4164852-3 gnd |
topic_facet | Riemann surfaces Dessins d'enfants (Mathematics) Graphfärbung Algebraische Kurve Kompakte Riemannsche Fläche |
url | https://doi.org/10.1017/CBO9781139048910 |
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