Twists of Elliptic Curves
In this note we extend the theory of twists of elliptic curves as presented in various standard texts for characteristic not equal to two or three to the remaining characteristics. For this, we make explicit use of the correspondence between the twists and the Galois cohomology set H¹(GK¯/K,AutK¯(E)...
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| Дата: | 2017 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149277 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Twists of Elliptic Curves / M. Kronberg, M.A. Soomro, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149277 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1492772019-02-20T01:23:45Z Twists of Elliptic Curves Kronberg, M. Soomro, M.A. Top, J. In this note we extend the theory of twists of elliptic curves as presented in various standard texts for characteristic not equal to two or three to the remaining characteristics. For this, we make explicit use of the correspondence between the twists and the Galois cohomology set H¹(GK¯/K,AutK¯(E)). The results are illustrated by examples. 2017 Article Twists of Elliptic Curves / M. Kronberg, M.A. Soomro, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 11G05; 11G25; 14G1 DOI:10.3842/SIGMA.2017.083 http://dspace.nbuv.gov.ua/handle/123456789/149277 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this note we extend the theory of twists of elliptic curves as presented in various standard texts for characteristic not equal to two or three to the remaining characteristics. For this, we make explicit use of the correspondence between the twists and the Galois cohomology set H¹(GK¯/K,AutK¯(E)). The results are illustrated by examples. |
| format |
Article |
| author |
Kronberg, M. Soomro, M.A. Top, J. |
| spellingShingle |
Kronberg, M. Soomro, M.A. Top, J. Twists of Elliptic Curves Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kronberg, M. Soomro, M.A. Top, J. |
| author_sort |
Kronberg, M. |
| title |
Twists of Elliptic Curves |
| title_short |
Twists of Elliptic Curves |
| title_full |
Twists of Elliptic Curves |
| title_fullStr |
Twists of Elliptic Curves |
| title_full_unstemmed |
Twists of Elliptic Curves |
| title_sort |
twists of elliptic curves |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149277 |
| citation_txt |
Twists of Elliptic Curves / M. Kronberg, M.A. Soomro, J. Top // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT kronbergm twistsofellipticcurves AT soomroma twistsofellipticcurves AT topj twistsofellipticcurves |
| first_indexed |
2023-05-20T17:31:27Z |
| last_indexed |
2023-05-20T17:31:27Z |
| _version_ |
1796153495202562048 |