Balakrishnan, Jennifer S.; Dogra, Netan; Müller, J. Steffen; Tuitman, Jan; Vonk, Jan Quadratic Chabauty for modular curves: algorithms and examples. (English) Zbl 07687687 Compos. Math. 159, No. 6, 1111-1152 (2023). Reviewer: Noriko Yui (Kingston) MSC: 11G18 11G50 11Y50 14G05 PDFBibTeX XMLCite \textit{J. S. Balakrishnan} et al., Compos. Math. 159, No. 6, 1111--1152 (2023; Zbl 07687687) Full Text: DOI arXiv
Hashimoto, Sachi Quadratic Chabauty and \(p\)-adic Gross-Zagier. (English) Zbl 1521.14046 Trans. Am. Math. Soc. 376, No. 5, 3725-3760 (2023). MSC: 14G05 11G30 11F67 PDFBibTeX XMLCite \textit{S. Hashimoto}, Trans. Am. Math. Soc. 376, No. 5, 3725--3760 (2023; Zbl 1521.14046) Full Text: DOI arXiv
Kaya, Enis Explicit Vologodsky integration for hyperelliptic curves. (English) Zbl 1518.11085 Math. Comput. 91, No. 337, 2367-2396 (2022). Reviewer: Yilmaz Simsek (Antalya) MSC: 11S80 11Y35 PDFBibTeX XMLCite \textit{E. Kaya}, Math. Comput. 91, No. 337, 2367--2396 (2022; Zbl 1518.11085) Full Text: DOI arXiv
Besser, Amnon \(p\)-adic heights and Vologodsky integration. (English) Zbl 07538066 J. Number Theory 239, 273-297 (2022). MSC: 11S80 11G20 14G40 14G22 14F40 11S25 PDFBibTeX XMLCite \textit{A. Besser}, J. Number Theory 239, 273--297 (2022; Zbl 07538066) Full Text: DOI arXiv
Balakrishnan, Jennifer; Dogra, Netan; Müller, J. Steffen; Tuitman, Jan; Vonk, Jan Explicit Chabauty-Kim for the split Cartan modular curve of level 13. (English) Zbl 1469.14050 Ann. Math. (2) 189, No. 3, 885-944 (2019). Reviewer: Imin Chen (Burnaby) MSC: 14G05 11Y50 11G50 11G18 PDFBibTeX XMLCite \textit{J. Balakrishnan} et al., Ann. Math. (2) 189, No. 3, 885--944 (2019; Zbl 1469.14050) Full Text: DOI arXiv
Balakrishnan, Jennifer S.; Dogra, Netan Quadratic Chabauty and rational points. I: \(p\)-adic heights. (English) Zbl 1401.14123 Duke Math. J. 167, No. 11, 1981-2038 (2018). Reviewer: Michel Waldschmidt (Paris) MSC: 14G05 11G50 14G40 PDFBibTeX XMLCite \textit{J. S. Balakrishnan} and \textit{N. Dogra}, Duke Math. J. 167, No. 11, 1981--2038 (2018; Zbl 1401.14123) Full Text: DOI arXiv
Balakrishnan, Jennifer S.; Müller, J. Steffen; Stein, William A. A \(p\)-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties. (English) Zbl 1402.11099 Math. Comput. 85, No. 298, 983-1016 (2016). Reviewer: Ma Luo (Oxford) MSC: 11G40 11G50 11G10 11G18 PDFBibTeX XMLCite \textit{J. S. Balakrishnan} et al., Math. Comput. 85, No. 298, 983--1016 (2016; Zbl 1402.11099) Full Text: DOI arXiv
Kobayashi, Shinichi The \(p\)-adic Gross-Zagier formula for elliptic curves at supersingular primes. (English) Zbl 1300.11053 Invent. Math. 191, No. 3, 527-629 (2013). Reviewer: Andrea Bandini (Parma) MSC: 11F85 11G05 11G40 11G50 14G10 14L05 PDFBibTeX XMLCite \textit{S. Kobayashi}, Invent. Math. 191, No. 3, 527--629 (2013; Zbl 1300.11053) Full Text: DOI
Besser, Amnon \(p\)-adic Arakelov theory. (English) Zbl 1079.14033 J. Number Theory 111, No. 2, 318-371 (2005). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 14G40 11G50 11S80 14G20 PDFBibTeX XMLCite \textit{A. Besser}, J. Number Theory 111, No. 2, 318--371 (2005; Zbl 1079.14033) Full Text: DOI arXiv