Journal article

A flexible method for applying Chabauty's Theorem

Abstract:: A strategy is proposed for applying Chabauty's Theorem to hyperelliptic curves of genus > 1. In the genus 2 case, it shown how recent developments on the formal group of the Jacobian can be used to give a flexible and computationally viable method for applying this strategy. The details are described for a general curve of genus 2, and are then applied to find C(ℚ) for a selection of curves. A fringe benefit is a more explicit proof of a result of Coleman.

Publication status:: Published

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APA Style

Flynn, E. (1997). A flexible method for applying Chabauty's Theorem. COMPOSITIO MATHEMATICA, 105(1), 79–94.

MLA Style

Flynn, E. “A Flexible Method for Applying Chabauty's Theorem.” COMPOSITIO MATHEMATICA, vol. 105, no. 1, 1997, pp. 79–94.

Chicago Style

Flynn, E. 1997. “A Flexible Method for Applying Chabauty's Theorem.” COMPOSITIO MATHEMATICA 105 (1): 79–94.
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Publisher copy:: 10.1023/A:1000111601294

Authors

+ Flynn, E More by this author

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

Journal:: COMPOSITIO MATHEMATICA More from this journal
Volume:: 105
Issue:: 1
Pages:: 79-94
Publication date:: 1997-01-01
DOI:: 10.1023/A:1000111601294
ISSN:: 0010-437X

Keywords:: Jacobians

formal groups

curves

Chabauty

rational points
Pubs id:: pubs:21499
UUID:: uuid:009bd564-f789-4ef5-b90a-f98ae571a323
Local pid:: pubs:21499
Source identifiers:: 21499
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_009bd564f7894ef5b90af98ae571a323

Terms of use

Copyright date:: 1997

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

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