Journal article
Quadratic Chabauty and rational points II: generalised height functions on Selmer varieties
- Abstract:
- We give new instances where Chabauty–Kim sets can be proved to be finite, by developing a notion of “generalised height functions” on Selmer varieties. We also explain how to compute these generalised heights in terms of iterated integrals and give the 1st explicit nonabelian Chabauty result for a curve X/Q whose Jacobian has Mordell–Weil rank larger than its genus.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Accepted manuscript, pdf, 609.1KB, Terms of use)
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- Publisher copy:
- 10.1093/imrn/rnz362
Authors
- Publisher:
- Oxford University Press
- Journal:
- International Mathematics Research Notices More from this journal
- Volume:
- 2021
- Issue:
- 15
- Pages:
- 11923-12008
- Publication date:
- 2020-02-01
- Acceptance date:
- 2019-12-04
- DOI:
- EISSN:
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1687-0247
- ISSN:
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1073-7928
- Language:
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English
- Keywords:
- Pubs id:
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pubs:1076479
- UUID:
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uuid:9133a425-796f-4e05-8a09-7b05eacf9559
- Local pid:
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pubs:1076479
- Source identifiers:
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1076479
- Deposit date:
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2019-12-05
- ARK identifier:
Terms of use
- Copyright holder:
- Balakrishnan and Dogra
- Copyright date:
- 2020
- Rights statement:
- © The Author(s) 2020. Published by Oxford University Press. All rights reserved.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Oxford University Press at: https://doi.org/10.1093/imrn/rnz362
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