Conference item

Coverings of Curves of Genus 2.

Abstract:: We shall discuss the idea of finding all rational points on a curve C by first finding an associated collection of curves whose rational points cover those of C. This classical technique has recently been given a new lease of life by being combined with descent techniques on Jacobians of curves, Chabauty techniques, and the increased power of software to perform algebraic number theory. We shall survey recent applications during the last 5 years which have used Chabauty techniques and covering collections of curves of genus 2 obtained from pullbacks along isogenies on their Jacobians.

Publication status:: Published

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APA Style

Flynn, E. (2000). Coverings of Curves of Genus 2. In W. Bosma (Ed.), 4th International Algorithmic Number Theory Symposium (ANTS-IV) (Vol. 1838, pp. 65–84). Springer.

MLA Style

Flynn, E. “Coverings of Curves of Genus 2.” 4th International Algorithmic Number Theory Symposium (ANTS-IV), edited by W Bosma, vol. 1838, Springer, 2000, pp. 65–84.

Chicago Style

Flynn, E. 2000. “Coverings of Curves of Genus 2.” In 4th International Algorithmic Number Theory Symposium (ANTS-IV), edited by W Bosma, 1838:65–84. Springer.
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Publisher copy:: 10.1007/10722028_3

Authors

+ Flynn, E More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Contributors

Role:: Editor

Publisher:: Springer
Journal:: ANTS More from this journal
Volume:: 1838
Pages:: 65-84
Publication date:: 2000-01-01
Event title:: 4th International Algorithmic Number Theory Symposium (ANTS-IV)
DOI:: 10.1007/10722028_3
ISSN:: 0302-9743
ISBN:: 3540676953

Keywords:: POINTS

CHABAUTY

INFINITE DESCENT
Pubs id:: pubs:18153
UUID:: uuid:f138cef1-4764-4de9-a3d5-e22681682087
Local pid:: pubs:18153
Source identifiers:: 18153
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_f138cef147644de9a3d5e22681682087

Terms of use

Copyright date:: 2000

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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