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Journal of the American Mathematical Society

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ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.83.

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Appendix and erratum to “Massey products for elliptic curves of rank 1”
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by Jennifer S. Balakrishnan, Kiran S. Kedlaya and Minhyong Kim
J. Amer. Math. Soc. 24 (2011), 281-291
DOI: https://doi.org/10.1090/S0894-0347-2010-00675-3
Published electronically: August 2, 2010
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Original Article: J. Amer. Math. Soc. 23 (2010), 725-747.

Abstract:

The paper Massey products for elliptic curves of rank $1$, J. Amer. Math. Soc. 23 (2010), 725-747, contained an error in the final explicit formula because of a mistake in Hodge theory and in analysing the structure of an integral model for a ramified cover of an elliptic curve. This paper corrects that error and includes a collection of numerical examples illustrating the main theorem.
References
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  • Balakrishnan, J. S., Explicit iterated Coleman integration for hyperelliptic curves and the nonabelian Chabauty method, in preparation.
  • Balakrishnan, J.S.; Bradshaw, R.W.; and Kedlaya, K.S., Explicit Coleman integration for hyperelliptic curves, in ANTS 9, Lecture Notes in Computer Science, Springer-Verlag, to appear; preprint available at http://math.mit.edu/˜kedlaya/papers/.
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Bibliographic Information
  • Jennifer S. Balakrishnan
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139-4307
  • MR Author ID: 910890
  • Kiran S. Kedlaya
  • Affiliation: Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139-4307
  • MR Author ID: 349028
  • ORCID: 0000-0001-8700-8758
  • Minhyong Kim
  • Affiliation: Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, United Kingdom and The Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, Korea
  • Received by editor(s): April 13, 2010
  • Published electronically: August 2, 2010
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: J. Amer. Math. Soc. 24 (2011), 281-291
  • MSC (2010): Primary 11G05
  • DOI: https://doi.org/10.1090/S0894-0347-2010-00675-3
  • MathSciNet review: 2726605