Found 56 Documents (Results 1–56)
Rational points on rank 2 genus 2 bielliptic curves in the LMFDB. (English) Zbl 07840414
Cremona, John (ed.) et al., LuCaNT: LMFDB, computation, and number theory. Conference, Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island, USA, July 10–14, 2023. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 796, 215-242 (2024).
Semisimplicity of the Frobenius action on \(\pi_1\). (English) Zbl 07912264
Bhatt, Bhargav (ed.) et al., \(p\)-adic Hodge theory, singular varieties, and non-abelian aspects. Proceedings of the Simons symposium 2019. Cham: Springer. Simons Symp., 17-64 (2023).
MFO-RIMS tandem workshop: Arithmetic homotopy and Galois theory. Abstracts from the MFO-RIMS tandem workshop held September 24–29, 2023. (English) Zbl 1537.00019
MSC:
00B05
00B25
11-06
12-06
14-06
55-06
12F12
14G32
14H30
14H45
14F06
55Pxx
14F22
14G05
14D15
11F70
Rational points on \(X_0^+(125)\). (English) Zbl 1539.11088
Reviewer: WonTae Hwang (Jeonju)
Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6. (English) Zbl 1540.14051
Reviewer: Luciena Xiao (Helsinki)
Weight filtrations on Selmer schemes and the effective Chabauty-Kim method. (English) Zbl 1527.11056
Quadratic Chabauty for modular curves: algorithms and examples. (English) Zbl 1529.11080
Reviewer: Noriko Yui (Kingston)
Geometric quadratic Chabauty over number fields. (English) Zbl 1517.11068
Reviewer: Dimitros Poulakis (Thessaloniki)
Rational motivic path spaces and Kim’s relative unipotent section conjecture. (English) Zbl 1520.14048
Explicit two-cover descent for genus 2 curves. (English) Zbl 1506.11095
Reviewer: Jeroen Sijsling (Ulm)
Explicit Vologodsky integration for hyperelliptic curves. (English) Zbl 1518.11085
Reviewer: Yilmaz Simsek (Antalya)
Curves with sharp Chabauty-Coleman bound. (English) Zbl 07912229
Balakrishnan, Jennifer S. (ed.) et al., Arithmetic geometry, number theory, and computation. Cham: Springer. Simons Symp., 461-484 (2021).
Explicit methods in number theory. Abstracts from the workshop held July 18–24, 2021 (hybrid meeting). (English) Zbl 1506.00044
Homotopic and geometric Galois theory. Abstracts from the workshop held March 7–13, 2021 (online meeting). (English) Zbl 1487.00035
Quadratic Chabauty and rational points. II: Generalised height functions on Selmer varieties. (English) Zbl 1534.14021
Two recent \(p\)-adic approaches towards the (effective) Mordell conjecture. (English) Zbl 1489.14034
Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 31-74 (2021).
Reviewer: Robin Zhang (Princeton)
Functional transcendence for the unipotent Albanese map. (English) Zbl 1487.11062
Reviewer: Nicholas Triantafillou (Athens)
Explicit quadratic Chabauty over number fields. (English) Zbl 1479.11110
Reviewer: Michel Waldschmidt (Paris)
Quadratic Chabauty for modular curves and modular forms of rank one. (English) Zbl 1472.11191
Reviewer: Lei Yang (Beijing)
A \(p\)-adic approach to rational points on curves. (English) Zbl 1461.11099
Reviewer: Dimitros Poulakis (Thessaloniki)
Quadratic points on modular curves with infinite Mordell-Weil group. (English) Zbl 1462.11049
Reviewer: Rubén A. Hidalgo (Temuco)
Height functions for motives. II. (English) Zbl 1474.14043
Kurihara, Masato (ed.) et al., Development of Iwasawa theory – the centennial of K. Iwasawa’s birth. Proceedings of the international conference “Iwasawa 2017”, University of Tokyo, Tokyo, Japan, July 19–28, 2017. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 86, 467-535 (2020).
Computation of the unipotent Albanese map on elliptic and hyperelliptic curves. (English. French summary) Zbl 1472.11173
Reviewer: Nicholas Triantafillou (Athens)
The polylog quotient and the Goncharov quotient in computational Chabauty-Kim theory. I. (English) Zbl 1453.11088
Mixed Tate motives and the unit equation. II. (English) Zbl 1452.11076
Reviewer: Fangzhou Jin (Essen)
Explicit Coleman integration for curves. (English) Zbl 1460.30015
Reviewer: Anatoly N. Kochubei (Kyïv)
Diophantine problems and \(p\)-adic period mappings. (English) Zbl 1455.11093
Reviewer: Evis Ieronymou (Nicosia)
Explicit Chabauty-Kim for the split Cartan modular curve of level 13. (English) Zbl 1469.14050
Reviewer: Imin Chen (Burnaby)
An effective Chabauty-Kim theorem. (English) Zbl 1428.14034
Reviewer: David McKinnon (Waterloo)
A non-abelian conjecture of Tate-Shafarevich type for hyperbolic curves. (English) Zbl 1460.11038
Reviewer: David McKinnon (Waterloo)
Quadratic Chabauty and rational points. I: \(p\)-adic heights. (English) Zbl 1401.14123
Reviewer: Michel Waldschmidt (Paris)
A control theorem for the torsion Selmer pointed set. (English) Zbl 1445.11126
Reviewer: Lawrence C. Washington (College Park)
Diophantine geometry and non-abelian reciprocity laws. I. (English) Zbl 1414.11154
Loeffler, David (ed.) et al., Elliptic curves, modular forms and Iwasawa theory. In honour of John H. Coates’ 70th birthday, Cambridge, UK, March 2015. Proceedings of the conference and the workshop. Cham: Springer. Springer Proc. Math. Stat. 188, 311-334 (2016).
Quadratic Chabauty: \(p\)-adic heights and integral points on hyperelliptic curves. (English) Zbl 1350.11067
Reviewer: Timo Keller (Bayreuth)
The bar construction and affine stacks. (English) Zbl 1348.18023
Reviewer: Julian Holstein (Lancaster)
Relative fundamental groups and rational points. (English) Zbl 1335.11050
Reviewer: Alex Degtyarev (Ankara)
Tangential localization for Selmer varieties. (English) Zbl 1268.11079
MSC:
11G05
Rational points of universal curves. (English) Zbl 1225.14016
Reviewer: Gerd Faltings (Bonn)
Fundamental groups and Diophantine geometry. (English) Zbl 1203.14030
Reviewer: Fumio Hazama (Hatoyama)
Explicit Coleman integration for hyperelliptic curves. (English) Zbl 1261.14011
Hanrot, Guillaume (ed.) et al., Algorithmic number theory. 9th international symposium, ANTS-IX, Nancy, France, July 19–23, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-14517-9/pbk). Lecture Notes in Computer Science 6197, 16-31 (2010).
\(p\)-adic \(L\)-functions and Selmer varieties associated to elliptic curves with complex multiplication. (English) Zbl 1223.11080
Reviewer: Matthias Schütt (Hannover)
Massey products for elliptic curves of rank 1. (English) Zbl 1225.11077
Reviewer: Florin Nicolae (Berlin)
MSC:
11G05
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