Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Nikola Adžaga
  • Vishal Arul
  • Lea Beneish
  • Mingjie Chen
  • Shiva Chidambaram
  • Timo Keller
  • Boya Wen

Research Organisations

External Research Organisations

  • University of Zagreb
  • University College London (UCL)
  • University of California at Berkeley
  • University of Birmingham
  • Massachusetts Institute of Technology
  • University of Bayreuth
  • University of Wisconsin
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Details

Original languageEnglish
Pages (from-to)15-49
Number of pages35
JournalActa arithmetica
Volume208
Issue number1
Early online date5 Jun 2023
Publication statusPublished - 2023

Keywords

    arithmetic aspects of modular, curves of arbitrary genus or genus ≠ 1 over global fields, rational points, Shimura varieties

ASJC Scopus subject areas

Cite this

Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6. / Adžaga, Nikola; Arul, Vishal; Beneish, Lea et al.
In: Acta arithmetica, Vol. 208, No. 1, 2023, p. 15-49.

Research output: Contribution to journal › Article › Research › peer review

Adžaga, N, Arul, V, Beneish, L, Chen, M, Chidambaram, S, Keller, T & Wen, B 2023, 'Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6', Acta arithmetica, vol. 208, no. 1, pp. 15-49. https://doi.org/10.4064/aa220110-7-3
Adžaga, N., Arul, V., Beneish, L., Chen, M., Chidambaram, S., Keller, T., & Wen, B. (2023). Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6. Acta arithmetica, 208(1), 15-49. https://doi.org/10.4064/aa220110-7-3
Adžaga N, Arul V, Beneish L, Chen M, Chidambaram S, Keller T et al. Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6. Acta arithmetica. 2023;208(1):15-49. Epub 2023 Jun 5. doi: 10.4064/aa220110-7-3
Adžaga, Nikola ; Arul, Vishal ; Beneish, Lea et al. / Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6. In: Acta arithmetica. 2023 ; Vol. 208, No. 1. pp. 15-49.
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title = "Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6",
keywords = "arithmetic aspects of modular, curves of arbitrary genus or genus ≠ 1 over global fields, rational points, Shimura varieties",
author = "Nikola Ad{\v z}aga and Vishal Arul and Lea Beneish and Mingjie Chen and Shiva Chidambaram and Timo Keller and Boya Wen",
note = "Funding Information: Acknowledgements. This project was initiated as part of a 2020 Arizona Winter School project led by Jennifer Balakrishnan and Netan Dogra. The authors are grateful to Jennifer Balakrishnan and Netan Dogra for the project idea and for their valuable guidance throughout the process. The authors are also grateful to Steffen M{\"u}ller, Padmavathi Srinivasan, and Floris Vermeulen for their support during the project, and to Jennifer Balakrish-nan, Netan Dogra, and Steffen M{\"u}ller for their comments on an earlier draft. We thank the anonymous referees for their suggestions which improved the exposition of this paper. N. A. thanks the Croatian Science Foundation for the support under the project no. IP2018-01-1313. T. K. has been supported by the Deutsche Funding Information: Forschungsgemeinschaft (DFG, German Research Foundation), Projektnum-mer STO 299/18-1, AOBJ: 667349 while working on this article. S. C. was supported by the Simons Foundation Grant 550033. Funding Information: This project was initiated as part of a 2020 Arizona Winter School project led by Jennifer Balakrishnan and Netan Dogra. The authors are grateful to Jennifer Balakrishnan and Netan Dogra for the project idea and for their valuable guidance throughout the process. The authors are also grateful to Steffen M{\"u}ller, Padmavathi Srinivasan, and Floris Vermeulen for their support during the project, and to Jennifer Balakrishnan, Netan Dogra, and Steffen M{\"u}ller for their comments on an earlier draft. We thank the anonymous referees for their suggestions which improved the exposition of this paper. N. A. thanks the Croatian Science Foundation for the support under the project no. IP2018-01-1313. T. K. has been supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), Projektnummer STO 299/18-1, AOBJ: 667349 while working on this article. S. C. was supported by the Simons Foundation Grant 550033.",
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AU - Chen, Mingjie

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N1 - Funding Information: Acknowledgements. This project was initiated as part of a 2020 Arizona Winter School project led by Jennifer Balakrishnan and Netan Dogra. The authors are grateful to Jennifer Balakrishnan and Netan Dogra for the project idea and for their valuable guidance throughout the process. The authors are also grateful to Steffen Müller, Padmavathi Srinivasan, and Floris Vermeulen for their support during the project, and to Jennifer Balakrish-nan, Netan Dogra, and Steffen Müller for their comments on an earlier draft. We thank the anonymous referees for their suggestions which improved the exposition of this paper. N. A. thanks the Croatian Science Foundation for the support under the project no. IP2018-01-1313. T. K. has been supported by the Deutsche Funding Information: Forschungsgemeinschaft (DFG, German Research Foundation), Projektnum-mer STO 299/18-1, AOBJ: 667349 while working on this article. S. C. was supported by the Simons Foundation Grant 550033. Funding Information: This project was initiated as part of a 2020 Arizona Winter School project led by Jennifer Balakrishnan and Netan Dogra. The authors are grateful to Jennifer Balakrishnan and Netan Dogra for the project idea and for their valuable guidance throughout the process. The authors are also grateful to Steffen Müller, Padmavathi Srinivasan, and Floris Vermeulen for their support during the project, and to Jennifer Balakrishnan, Netan Dogra, and Steffen Müller for their comments on an earlier draft. We thank the anonymous referees for their suggestions which improved the exposition of this paper. N. A. thanks the Croatian Science Foundation for the support under the project no. IP2018-01-1313. T. K. has been supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), Projektnummer STO 299/18-1, AOBJ: 667349 while working on this article. S. C. was supported by the Simons Foundation Grant 550033.

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