The mordell conjecture: a complete proof from diophantine geometry
The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following...
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2022
|
| Series: | Cambridge tracts in mathematics
226 |
| Links: | https://doi.org/10.1017/9781108991445 |
| Summary: | The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following the papers of Bombieri and Vojta. Also acting as a concise introduction to Diophantine geometry, the text starts from basics of algebraic number theory, touches on several important theorems and techniques (including the theory of heights, the Mordell-Weil theorem, Siegel's lemma and Roth's lemma) from Diophantine geometry, and culminates in the proof of the Mordell conjecture. Based on the authors' own teaching experience, it will be of great value to advanced undergraduate and graduate students in algebraic geometry and number theory, as well as researchers interested in Diophantine geometry as a whole. |
| Physical Description: | 1 Online-Ressource (vii, 169 Seiten) |
| ISBN: | 9781108991445 |
Staff View
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781108991445 | ||
| 003 | UkCbUP | ||
| 005 | 20220118224947.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 200925s2022||||enk o ||1 0|eng|d | ||
| 020 | |a 9781108991445 | ||
| 100 | 1 | |a Ikoma, Hideaki | |
| 245 | 1 | 4 | |a The mordell conjecture |b a complete proof from diophantine geometry |c Hideaki Ikoma, Shitennoji University, Shu Kawaguchi, Doshisha University, Atsushi Moriwaki, Kyoto University |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2022 | |
| 300 | |a 1 Online-Ressource (vii, 169 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a Cambridge tracts in mathematics |v 226 | |
| 520 | |a The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following the papers of Bombieri and Vojta. Also acting as a concise introduction to Diophantine geometry, the text starts from basics of algebraic number theory, touches on several important theorems and techniques (including the theory of heights, the Mordell-Weil theorem, Siegel's lemma and Roth's lemma) from Diophantine geometry, and culminates in the proof of the Mordell conjecture. Based on the authors' own teaching experience, it will be of great value to advanced undergraduate and graduate students in algebraic geometry and number theory, as well as researchers interested in Diophantine geometry as a whole. | ||
| 700 | 1 | |a Kawaguchi, Shu | |
| 700 | 1 | |a Moriwaki, Atsushi |d 1960- | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781108845953 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/9781108991445 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Record in the Search Index
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9781108991445 |
|---|---|
| _version_ | 1832177785572950018 |
| adam_text | |
| any_adam_object | |
| author | Ikoma, Hideaki |
| author2 | Kawaguchi, Shu Moriwaki, Atsushi 1960- |
| author2_role | |
| author2_variant | s k sk a m am |
| author_facet | Ikoma, Hideaki Kawaguchi, Shu Moriwaki, Atsushi 1960- |
| author_role | |
| author_sort | Ikoma, Hideaki |
| author_variant | h i hi |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01833nam a2200277 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781108991445</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20220118224947.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">200925s2022||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781108991445</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ikoma, Hideaki</subfield></datafield><datafield tag="245" ind1="1" ind2="4"><subfield code="a">The mordell conjecture</subfield><subfield code="b">a complete proof from diophantine geometry</subfield><subfield code="c">Hideaki Ikoma, Shitennoji University, Shu Kawaguchi, Doshisha University, Atsushi Moriwaki, Kyoto University</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2022</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (vii, 169 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Cambridge tracts in mathematics</subfield><subfield code="v">226</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following the papers of Bombieri and Vojta. Also acting as a concise introduction to Diophantine geometry, the text starts from basics of algebraic number theory, touches on several important theorems and techniques (including the theory of heights, the Mordell-Weil theorem, Siegel's lemma and Roth's lemma) from Diophantine geometry, and culminates in the proof of the Mordell conjecture. Based on the authors' own teaching experience, it will be of great value to advanced undergraduate and graduate students in algebraic geometry and number theory, as well as researchers interested in Diophantine geometry as a whole.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kawaguchi, Shu</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Moriwaki, Atsushi</subfield><subfield code="d">1960-</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781108845953</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/9781108991445</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9781108991445 |
| illustrated | Not Illustrated |
| indexdate | 2025-05-15T09:21:37Z |
| institution | BVB |
| isbn | 9781108991445 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (vii, 169 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Ikoma, Hideaki The mordell conjecture a complete proof from diophantine geometry Hideaki Ikoma, Shitennoji University, Shu Kawaguchi, Doshisha University, Atsushi Moriwaki, Kyoto University Cambridge Cambridge University Press 2022 1 Online-Ressource (vii, 169 Seiten) txt c cr Cambridge tracts in mathematics 226 The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following the papers of Bombieri and Vojta. Also acting as a concise introduction to Diophantine geometry, the text starts from basics of algebraic number theory, touches on several important theorems and techniques (including the theory of heights, the Mordell-Weil theorem, Siegel's lemma and Roth's lemma) from Diophantine geometry, and culminates in the proof of the Mordell conjecture. Based on the authors' own teaching experience, it will be of great value to advanced undergraduate and graduate students in algebraic geometry and number theory, as well as researchers interested in Diophantine geometry as a whole. Kawaguchi, Shu Moriwaki, Atsushi 1960- Erscheint auch als Druck-Ausgabe 9781108845953 |
| spellingShingle | Ikoma, Hideaki The mordell conjecture a complete proof from diophantine geometry |
| title | The mordell conjecture a complete proof from diophantine geometry |
| title_auth | The mordell conjecture a complete proof from diophantine geometry |
| title_exact_search | The mordell conjecture a complete proof from diophantine geometry |
| title_full | The mordell conjecture a complete proof from diophantine geometry Hideaki Ikoma, Shitennoji University, Shu Kawaguchi, Doshisha University, Atsushi Moriwaki, Kyoto University |
| title_fullStr | The mordell conjecture a complete proof from diophantine geometry Hideaki Ikoma, Shitennoji University, Shu Kawaguchi, Doshisha University, Atsushi Moriwaki, Kyoto University |
| title_full_unstemmed | The mordell conjecture a complete proof from diophantine geometry Hideaki Ikoma, Shitennoji University, Shu Kawaguchi, Doshisha University, Atsushi Moriwaki, Kyoto University |
| title_short | The mordell conjecture |
| title_sort | mordell conjecture a complete proof from diophantine geometry |
| title_sub | a complete proof from diophantine geometry |
| work_keys_str_mv | AT ikomahideaki themordellconjectureacompleteprooffromdiophantinegeometry AT kawaguchishu themordellconjectureacompleteprooffromdiophantinegeometry AT moriwakiatsushi themordellconjectureacompleteprooffromdiophantinegeometry AT ikomahideaki mordellconjectureacompleteprooffromdiophantinegeometry AT kawaguchishu mordellconjectureacompleteprooffromdiophantinegeometry AT moriwakiatsushi mordellconjectureacompleteprooffromdiophantinegeometry |