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Found 476 Documents (Results 1–100)

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On the problem of periodicity of continued fraction expansions of \(\sqrt{f}\) for cubic polynomials \(f\) over algebraic number fields. (English. Russian original) Zbl 1487.11070

Sb. Math. 213, No. 3, 412-442 (2022); translation from Mat. Sb. 213, No. 3, 139-170 (2022).
MSC:  11J70 11R27 11R58
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On the periodicity problem for the continued fraction expansion of elements of hyperelliptic fields with fundamental \(S\)-units of degree at most 11. (English. Russian original) Zbl 1482.11096

Dokl. Math. 104, No. 2, 258-263 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 45-51 (2021).
MSC:  11J70 11R58 11R27
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Torsion points of generalized Honda formal groups. (English. Russian original) Zbl 1465.11226

Vestn. St. Petersbg. Univ., Math. 53, No. 4, 404-411 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 597-606 (2020).
MSC:  11S31 14L05
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On the \(p\)-adic distribution of torsion values for a section of an abelian scheme. (English) Zbl 1451.14133

MSC:  14K15 14G20
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Decompositions in local heights. (Décompositions en hauteurs locales.) (French. English summary) Zbl 1459.11143

Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 722, 121-140 (2019).
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Division by 2 on odd-degree hyperelliptic curves and their Jacobians. (English. Russian original) Zbl 1419.14044

Izv. Math. 83, No. 3, 501-520 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 93-112 (2019).
MSC:  14H40 14G27 11G10
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Geometry of Teichmüller curves. (English) Zbl 1447.32021

Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2017-2034 (2018).
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Torsion of elliptic curves and unlikely intersections. (English) Zbl 1423.14214

Andersen, Jørgen Ellegaard (ed.) et al., Geometry and physics. A festschrift in honour of Nigel Hitchin. Volume 1. Oxford: Oxford University Press. 19-37 (2018).
MSC:  14H52 11G05 11G07
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Rational families of \(17\)-torsion points of elliptic curves over number fields. (English) Zbl 1440.11092

Lario, Joan-Carles (ed.) et al., Number theory related to modular curves: Momose memorial volume. Proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar in memory of Fumiyuki Momose, Barcelona, Spain, May 21–23, 2012. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 701, 81-104 (2018).
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Fundamental \(S\)-units in hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves. (English. Russian original) Zbl 1348.14083

Dokl. Math. 92, No. 3, 667-669 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 1, 23-25 (2015).
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New curves of genus 2 over the field of rational numbers whose Jacobians contain torsion points of high order. (English. Russian original) Zbl 1356.11038

Dokl. Math. 91, No. 2, 220-221 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 6, 638-639 (2015).
MSC:  11G30 14H45
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Elementary integration of differentials in families and conjectures of Pink. (English) Zbl 1373.11049

Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 531-555 (2014).
MSC:  11G10 11G50
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