Edixhoven, Bas; Parent, Pierre Regular models of modular curves in prime level over \(\mathbb{Z}^{\mathrm{ur}}_p\). (English) Zbl 07921211 Doc. Math. 29, No. 5, 1017-1058 (2024). MSC: 11G18 11G20 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Fust, Paulina; Ludwig, Judith; Pozzi, Alice; Santos, Mafalda; Wiersema, Hanneke Real quadratic singular moduli and \(p\)-adic families of modular forms. (English) Zbl 07919518 Abdellatif, Ramla (ed.) et al., Women in numbers Europe IV. Research directions in number theory. Selected papers based on the presentations at the 4th workshop, WINE 4, Utrecht, the Netherlands, August 29 – September 2, 2022. Cham: Springer. Assoc. Women Math. Ser. 32, 253-291 (2024). MSC: 11F11 11G05 11G18 11G40 11F33 14G22 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ţurcaş, George C. On the \(p\)-isogenies of elliptic curves with multiplicative reduction over quadratic fields. (English) Zbl 07918588 Guàrdia, Jordi (ed.) et al., New frontiers in number theory and applications. Cham: Birkhäuser. Trends Math., 411-425 (2024). MSC: 11G05 11F80 11G18 14G05 11D41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kataoka, Takenori; Sano, Takamichi On Euler systems for motives and Heegner points. (English) Zbl 07910129 J. Assoc. Math. Res. 2, No. 2, 154-208 (2024). MSC: 11R23 11R42 11G05 11G40 11G18 × Cite Format Result Cite Review PDF Full Text: arXiv Link OA License
Frediani, Paola Abelian covers and the second fundamental form. (English) Zbl 07901747 Manuscr. Math. 175, No. 1-2, 267-291 (2024). MSC: 14G35 14H10 14H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ho, Sheng-Yang Kevin On the rational cuspidal divisor class groups of Drinfeld modular curves \(X_0( \mathfrak{p}^r)\). (English) Zbl 07900424 Int. J. Number Theory 20, No. 8, 2099-2123 (2024). MSC: 11G09 11G18 14G35 11F52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lorenzo García, Elisa; Vullers, Michaël Counterexamples to the Hasse principle among the twists of the Klein quartic. (English) Zbl 07894509 Indag. Math., New Ser. 35, No. 4, 638-645 (2024). MSC: 11G30 11G05 11G20 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kling, Anthony Comparison of integral structures on the space of modular forms of full level \(N\). (English) Zbl 07865945 J. Number Theory 262, 222-300 (2024). MSC: 11F11 14G35 14H10 11F33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dalal, Tarun Intermediate modular curves with infinitely many cubic points over \(\mathbb{Q}\). (English) Zbl 07839462 Int. J. Number Theory 20, No. 3, 701-713 (2024). Reviewer: WonTae Hwang (Jeonju) MSC: 11G18 11G30 14G05 14H10 14H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Derickx, Maarten; Orlić, Petar Modular curves \(X_0(N)\) with infinitely many quartic points. (English) Zbl 07837209 Res. Number Theory 10, No. 2, Paper No. 42, 24 p. (2024). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G18 14G35 14K02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rakvi A classification of genus 0 modular curves with rational points. (English) Zbl 07833097 Math. Comput. 93, No. 348, 1859-1902 (2024). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11F80 11G05 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jordan, Bruce W.; Ribet, Kenneth A.; Scholl, Anthony J. Modular curves and Néron models of generalized Jacobians. (English) Zbl 07831318 Compos. Math. 160, No. 5, 945-981 (2024). MSC: 14K30 11G18 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Česnavičius, Kęstutis; Neururer, Michael; Saha, Abhishek The Manin constant and the modular degree. (English) Zbl 07815222 J. Eur. Math. Soc. (JEMS) 26, No. 2, 573-637 (2024). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G05 11F11 11F30 11F70 11F85 11G18 11L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adžaga, Nikola; Keller, Timo; Michaud-Jacobs, Philippe; Najman, Filip; Ozman, Ekin; Vukorepa, Borna Computing quadratic points on modular curves \(X_0(N)\). (English) Zbl 07810337 Math. Comput. 93, No. 347, 1371-1397 (2024). Reviewer: Noburo Ishii (Kyōto) MSC: 11G05 14G05 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lei, Antonio; Müller, Katharina On the zeta functions of supersingular isogeny graphs and modular curves. (English) Zbl 07806706 Arch. Math. 122, No. 3, 285-294 (2024). Reviewer: Sami Omar (Sukhair) MSC: 11M41 05C30 11G18 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Michaud-Jacobs, Philippe Computing points on bielliptic modular curves over fixed quadratic fields. (English) Zbl 07802955 Bull. Aust. Math. Soc. 109, No. 1, 6-13 (2024). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11G18 11G05 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Banerjee, Debargha; Rai, Vivek Towards a mod-\(p\) Lubin-Tate theory for \(\mathrm{GL}_2\) over totally real fields. (English) Zbl 07785376 Int. J. Number Theory 20, No. 1, 199-220 (2024). MSC: 11F80 11F11 11F20 11F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourdon, Abbey; Gill, David R.; Rouse, Jeremy; Watson, Lori D. Odd degree isolated points on \(X_1(N)\) with rational \(j\)-invariant. (English) Zbl 07783310 Res. Number Theory 10, No. 1, Paper No. 5, 32 p. (2024). MSC: 11G05 14H52 11G18 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Najman, Filip; Orlić, Petar Gonality of the modular curve \(X_0 (N)\). (English) Zbl 07782522 Math. Comput. 93, No. 346, 863-886 (2024). MSC: 11G18 14H51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shin, Dong Hwa; Yoon, Dong Sung On special values of generators of modular function fields. (English) Zbl 1539.11087 J. Math. Anal. Appl. 530, No. 2, Article ID 127741, 15 p. (2024). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G15 11G16 11G18 11R37 11R58 × Cite Format Result Cite Review PDF Full Text: DOI
Hwang, Wontae; Jeon, Daeyeol Modular curves with infinitely many quartic points. (English) Zbl 1535.11089 Math. Comput. 93, No. 345, 383-395 (2024). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G18 11G30 × Cite Format Result Cite Review PDF Full Text: DOI
Pasten, Hector Shimura curves and the abc conjecture. (English) Zbl 07748223 J. Number Theory 254, 214-335 (2024). MSC: 11G18 11G05 14G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Lei Geometric realizations of representations for \(\text{PSL}(2, \mathbb{F}_p)\) and Galois representations arising from defining ideals of modular curves. arXiv:2409.02589 Preprint, arXiv:2409.02589 [math.NT] (2024). MSC: 11R39 11F80 20C33 14C25 14H42 11G18 14L30 13A50 14H37 11G32 × Cite Format Result Cite Full Text: arXiv OA License
Frengley, Sam On the geometry of the Humbert surface of square discriminant. arXiv:2408.09830 Preprint, arXiv:2408.09830 [math.AG] (2024). MSC: 14G35 14H10 11G15 11G05 × Cite Format Result Cite Full Text: arXiv OA License
Bourdon, Abbey; Ryalls, Nina; Watson, Lori D. Minimal torsion curves in geometric isogeny classes. arXiv:2407.14322 Preprint, arXiv:2407.14322 [math.NT] (2024). MSC: 14G35 11G05 × Cite Format Result Cite Full Text: arXiv OA License
Bars, Francesc; Dalal, Tarun Infinitely many cubic points on \(X_0(N)/\langle w_d\rangle\) with \(N\) square-free. arXiv:2406.06747 Preprint, arXiv:2406.06747 [math.NT] (2024). MSC: 11G18 11G30 14G05 14H10 × Cite Format Result Cite Full Text: arXiv OA License
Liu, Yifeng; Tian, Yichao; Xiao, Liang Iwasawa’s main conjecture for Rankin-Selberg motives in the anticyclotomic case. arXiv:2406.00624 Preprint, arXiv:2406.00624 [math.NT] (2024). MSC: 11G05 11G18 11G40 11R34 × Cite Format Result Cite Full Text: arXiv OA License
Borisov, Lev; Roulleau, Xavier Modular curves \(X_1(n)\) as moduli spaces of point arrangements and applications. arXiv:2404.04364 Preprint, arXiv:2404.04364 [math.AG] (2024). MSC: 14N20 14G35 11G05 14K10 11Fxx × Cite Format Result Cite Full Text: arXiv OA License
Lurie, Jacob Full level structures on elliptic curves. (English) Zbl 07912267 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., 239-252 (2023). MSC: 14G45 14H52 11G18 × Cite Format Result Cite Review PDF Full Text: DOI
van der Geer, Gerard Curves over finite fields and moduli spaces. (English) Zbl 1536.11097 Bassa, Alp (ed.) et al., Curves over finite fields: past, present and future, virtual conference, May 2021. Paris: Société Mathématique de France (SMF). Panor. Synth. 60, 113-144 (2023). MSC: 11G20 14H10 14G35 11F03 14H45 14J15 × Cite Format Result Cite Review PDF Full Text: arXiv
Yang, Jae-Hyun Survey of the arithmetic and geometric approach to the Schottky problem. (English) Zbl 07832959 Kyungpook Math. J. 63, No. 4, 647-707 (2023). MSC: 14H42 03C64 11G18 14H40 14K25 × Cite Format Result Cite Review PDF Full Text: DOI
van der Geer, Gerard Siegel modular forms of degree two and three and invariant theory. (English) Zbl 1530.11047 Dedieu, Thomas (ed.) et al., The art of doing algebraic geometry. Cham: Birkhäuser. Trends Math., 217-239 (2023). MSC: 11F46 14G35 13A50 14J15 14K10 11-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fornea, Michele; Gehrmann, Lennart On the algebraicity of polyquadratic plectic points. (English) Zbl 07794993 Int. Math. Res. Not. 2023, No. 22, 19237-19265 (2023). MSC: 11G18 11G05 11G16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lecouturier, Emmanuel On the Mazur-Tate conjecture for prime conductor and Mazur’s Eisenstein ideal. (English) Zbl 07771199 Am. J. Math. 145, No. 5, 1365-1387 (2023). MSC: 11F80 11F11 11F67 11G05 11F33 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Roulleau, Xavier Number of Kummer structures and moduli spaces of generalized Kummer surfaces. (English) Zbl 1524.14085 Math. Z. 305, No. 4, Paper No. 66, 34 p. (2023). Reviewer: Piotr Pokora (Kraków) MSC: 14J28 14K10 14G35 11G15 11R52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arai, Keisuke Points on Shimura curves rational over imaginary quadratic fields in the non-split case. (English) Zbl 07767764 Math. Z. 305, No. 4, Paper No. 60, 19 p. (2023). Reviewer: Sungkon Chang (Savannah) MSC: 11G18 14G05 11G10 11G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Jia-Wei; Yang, Yifan; Yoo, Hwajong; Yu, Myungjun The rational cuspidal subgroup of \(J_0(p^2M)\) with \(M\) squarefree. (English) Zbl 1539.11089 Math. Nachr. 296, No. 10, 4634-4655 (2023). Reviewer: Fumio Hazama (Hatoyama) MSC: 11G18 11G16 14G05 14H45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frediani, Paola; Grosselli, Gian Paolo; Mohajer, Abolfazl Higher dimensional Shimura varieties in the Prym loci of ramified double covers. (English) Zbl 1539.14046 Math. Nachr. 296, No. 5, 1842-1858 (2023). MSC: 14G35 14H10 14H15 14H40 14K12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Arul, Vishal; Müller, J. Steffen Rational points on \(X_0^+(125)\). (English) Zbl 1539.11088 Expo. Math. 41, No. 3, 709-717 (2023). Reviewer: WonTae Hwang (Jeonju) MSC: 11G18 11G50 11Y50 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Padurariu, Oana; Schembri, Ciaran Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves. (English) Zbl 07745034 Expo. Math. 41, No. 3, 492-513 (2023). Reviewer: Ramesh Sreekantan (Bangalore) MSC: 11G18 14G05 11G10 11G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dose, Valerio; Lido, Guido; Mercuri, Pietro; Stirpe, Claudio Modular curves with many points over finite fields. (English) Zbl 1536.11093 J. Algebra 635, 790-821 (2023). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11G20 11G18 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Shi, Yousheng Special cycles on unitary Shimura curves at ramified primes. (English) Zbl 07735182 Manuscr. Math. 172, No. 1-2, 221-290 (2023). MSC: 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buium, Alexandru; Miller, Lance Edward Purely arithmetic PDEs over a \(p\)-adic field: \(\delta\)-characters and \(\delta\)-modular forms. (English) Zbl 07735010 Memoirs of the European Mathematical Society 6. Berlin: European Mathematical Society (ISBN 978-3-98547-057-0/pbk; 978-3-98547-557-5/ebook). viii, 106 p. (2023). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11-02 11F32 11F85 11G07 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adžaga, Nikola; Arul, Vishal; Beneish, Lea; Chen, Mingjie; Chidambaram, Shiva; Keller, Timo; Wen, Boya Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6. (English) Zbl 1540.14051 Acta Arith. 208, No. 1, 15-49 (2023). Reviewer: Luciena Xiao (Helsinki) MSC: 14G05 11G30 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Chan-Ho; Ota, Kazuto On the quantitative variation of congruence ideals and integral periods of modular forms. (English) Zbl 1540.11043 Res. Math. Sci. 10, No. 2, Paper No. 22, 34 p. (2023). MSC: 11F33 11F67 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rodríguez Camargo, Juan Esteban \(p\)-adic Eichler-Shimura maps for the modular curve. (English) Zbl 1528.11039 Compos. Math. 159, No. 6, 1214-1249 (2023). Reviewer: Lei Yang (Beijing) MSC: 11F77 11G18 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balakrishnan, Jennifer S.; Dogra, Netan; Müller, J. Steffen; Tuitman, Jan; Vonk, Jan Quadratic Chabauty for modular curves: algorithms and examples. (English) Zbl 1529.11080 Compos. Math. 159, No. 6, 1111-1152 (2023). Reviewer: Noriko Yui (Kingston) MSC: 11G18 11G50 11Y50 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Michaud-Jacobs, Philippe On elliptic curves with \(p\)-isogenies over quadratic fields. (English) Zbl 1536.11081 Can. J. Math. 75, No. 3, 945-964 (2023). Reviewer: Maciej Ulas (Kraków) MSC: 11F80 11G05 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Haining On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights. (English. French summary) Zbl 1533.11126 Ann. Math. Qué. 47, No. 1, 195-248 (2023). Reviewer: Matteo Longo (Padova) MSC: 11G40 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Longo, Matteo A \(p\)-adic Maass-Shimura operator on Mumford curves. (English. French summary) Zbl 1526.11015 Ann. Math. Qué. 47, No. 1, 139-175 (2023). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F03 14F40 11R52 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Anni, Samuele; Assaf, Eran; Lorenzo García, Elisa On smooth plane models for modular curves of Shimura type. (English) Zbl 1528.11051 Res. Number Theory 9, No. 2, Paper No. 21, 20 p. (2023). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G18 14G35 11F11 14H45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Bojakli, Mustafa; Sankari, Hasan Weierstrass points on modular curves \(X_0(N)\) fixed by the Atkin-Lehner involutions. (English) Zbl 1524.11125 Arab J. Math. Sci. 29, No. 1, 63-72 (2023). MSC: 11G18 14H55 × Cite Format Result Cite Review PDF Full Text: DOI
Najman, Filip; Vukorepa, Borna Quadratic points on bielliptic modular curves. (English) Zbl 1522.11056 Math. Comput. 92, No. 342, 1791-1816 (2023). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G05 14G05 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Box, Josha; Gajović, Stevan; Goodman, Pip Cubic and quartic points on modular curves using generalised symmetric Chabauty. (English) Zbl 1526.11030 Int. Math. Res. Not. 2023, No. 7, 5604-5659 (2023). Reviewer: Francesc Bars Cortina (Bellaterra) MSC: 11G18 11G30 11G35 14K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duque-Rosero, Juanita; Voight, John Triangular modular curves of small genus. (English) Zbl 1516.11066 Res. Number Theory 9, No. 1, Paper No. 3, 26 p. (2023). Reviewer: Lei Yang (Beijing) MSC: 11G18 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Grosselli, Gian Paolo; Mohajer, Abolfazl Shimura subvarieties in the Prym locus of ramified Galois coverings. (English) Zbl 1506.14053 Collect. Math. 74, No. 1, 199-218 (2023). MSC: 14G35 14H30 14H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Bars, Francesc; Kamel, Mohamed; Schweizer, Andreas Bielliptic quotient modular curves of \(X_0(N)\). (English) Zbl 1509.11051 Math. Comput. 92, No. 340, 895-929 (2023). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G18 14H45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fowler, Guy Equations in three singular moduli: the equal exponent case. (English) Zbl 1518.11049 J. Number Theory 243, 256-297 (2023). Reviewer: Yong-Xiong Li (Beijing) MSC: 11G15 11G18 11G05 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Yang-Hui; Lee, Kyu-Hwan; Oliver, Thomas Machine learning invariants of arithmetic curves. (English) Zbl 1522.14004 J. Symb. Comput. 115, 478-491 (2023). Reviewer: Lei Yang (Beijing) MSC: 14-04 11Gxx 14G35 11Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Spelta, Irene; Tamborini, Carolina On totally decomposable abelian \(G\)-curves and special subvarieties. arXiv:2305.19030 Preprint, arXiv:2305.19030 [math.AG] (2023). MSC: 14H10 14H40 14G35 14K05 × Cite Format Result Cite Full Text: arXiv OA License
Bruin, Peter; Ayala, Irati Manterola Counting rational points on weighted projective spaces over number fields. arXiv:2302.10967 Preprint, arXiv:2302.10967 [math.NT] (2023). MSC: 11G50 14G05 11G05 11G18 14D23 14G40 × Cite Format Result Cite Full Text: arXiv OA License
Cai, Yulin An explicit bound for integral points on modular curves. (English) Zbl 07888813 Commun. Math. 30, No. 1, 161-174 (2022). Reviewer: Lei Yang (Beijing) MSC: 14G05 11G16 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Burungale, Ashay A. A \(p\)-adic Waldspurger formula and the conjecture of Birch and Swinnerton-Dyer. (English) Zbl 1532.11155 J. Indian Inst. Sci. 102, No. 3, 885-894 (2022). MSC: 11R23 11G40 11G05 14G10 11G18 × Cite Format Result Cite Review PDF Full Text: DOI
Clark, Pete L.; Genao, Tyler; Pollack, Paul; Saia, Frederick The least degree of a CM point on a modular curve. (English) Zbl 1537.11088 J. Lond. Math. Soc., II. Ser. 105, No. 2, 825-883 (2022). MSC: 11G15 11G18 11G30 × Cite Format Result Cite Review PDF Full Text: DOI
Bruin, Peter; Najman, Filip Counting elliptic curves with prescribed level structures over number fields. (English) Zbl 1535.11085 J. Lond. Math. Soc., II. Ser. 105, No. 4, 2415-2435 (2022). Reviewer: Riccardo Pengo (Hannover) MSC: 11G05 11G18 11G50 14D23 14G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bars, Francesc; Dalal, Tarun Infinitely many cubic points for \(X_0^+(N)\) over \(\mathbb{Q}\). (English) Zbl 1515.11057 Acta Arith. 206, No. 4, 373-388 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G18 11G30 14G05 14H10 14H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jeon, Daeyeol Trielliptic modular curves \(X_1(N)\). (English) Zbl 1515.11059 Acta Arith. 206, No. 2, 171-188 (2022). Reviewer: Lei Yang (Beijing) MSC: 11G18 11G30 × Cite Format Result Cite Review PDF Full Text: DOI
Houben, Marc; Streng, Marco Generalized class polynomials. (English) Zbl 1524.11124 Res. Number Theory 8, No. 4, Paper No. 103, 26 p. (2022). MSC: 11G15 11Y16 11F03 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Morain, F. Modular curves over number fields and ECM. (English) Zbl 1499.11216 Res. Number Theory 8, No. 4, Paper No. 97, 17 p. (2022). MSC: 11G05 11G18 11Y11 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Cai, Yichang; Tilouine, Jacques Simplicial Galois deformation functors. (English) Zbl 1498.11126 Banerjee, Debargha (ed.) et al., Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9–20, 2019. Singapore: Springer. Infosys Sci. Found. Ser., 349-389 (2022). MSC: 11F33 14G45 11F80 14G20 14G35 11G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Boxer, George; Pilloni, Vincent Higher Hida and Coleman theories on the modular curve. (English) Zbl 1507.11038 Épijournal de Géom. Algébr., EPIGA 6, Article 16, 33 p. (2022). Reviewer: Riccardo Brasca (Paris) MSC: 11F33 11F85 14G22 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Arapura, Donu Hodge cycles and the Leray filtration. (English) Zbl 1523.14013 Pac. J. Math. 319, No. 2, 233-258 (2022). Reviewer: Subham Sarkar (Bhubaneswar) MSC: 14C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adžaga, Nikola; Chidambaram, Shiva; Keller, Timo; Padurariu, Oana Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings. (English) Zbl 1509.11050 Res. Number Theory 8, No. 4, Paper No. 87, 24 p. (2022). MSC: 11G18 11G30 14G05 14G35 14H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
de Frutos-Fernández, María Inés Moduli spaces of shtukas over the projective line. (English. French summary) Zbl 1504.14021 J. Théor. Nombres Bordx. 34, No. 2, 393-418 (2022). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 14D24 11G09 14H60 11G18 11R39 14D05 11F70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Disegni, Daniel The universal \(p\)-adic Gross-Zagier formula. (English) Zbl 1511.11062 Invent. Math. 230, No. 2, 509-649 (2022). Reviewer: Matteo Longo (Padova) MSC: 11G40 11G18 11R23 11F67 11G05 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agashe, Amod; Trifkovic, Mak Darmon points on elliptic curves over totally real fields. (English) Zbl 1526.11027 J. Ramanujan Math. Soc. 37, No. 3, 231-239 (2022). Reviewer: Matteo Longo (Padova) MSC: 11G05 11G40 14G05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Ishitsuka, Yasuhiro; Ito, Tetsushi; Yoshikawa, Sho The modularity of elliptic curves over all but finitely many totally real fields of degree 5. (English) Zbl 1519.11030 Res. Number Theory 8, No. 4, Paper No. 82, 23 p. (2022). Reviewer: Imin Chen (Burnaby) MSC: 11G05 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruin, Nils; Filatov, Eugene Twists of the Burkhardt quartic threefold. (English) Zbl 1527.14066 Res. Number Theory 8, No. 4, Paper No. 73, 16 p. (2022). MSC: 14H10 14K10 11G10 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Spelta, Irene Shimura subvarieties via endomorphisms. (English) Zbl 1497.14048 C. R., Math., Acad. Sci. Paris 360, 1117-1124 (2022). MSC: 14H10 14H30 14H40 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Tamborini, Carolina Symmetric spaces uniformizing Shimura varieties in the Torelli locus. (English) Zbl 1509.14057 Ann. Mat. Pura Appl. (4) 201, No. 5, 2101-2119 (2022). Reviewer: Davide Frapporti (Bayreuth) MSC: 14G35 14H15 14H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dose, Valerio; Lido, Guido; Mercuri, Pietro Automorphisms of Cartan modular curves of prime and composite level. (English) Zbl 1519.11029 Algebra Number Theory 16, No. 6, 1423-1461 (2022). Reviewer: Imin Chen (Burnaby) MSC: 11G05 11G15 11G18 11G30 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rouse, Jeremy; Sutherland, Andrew V.; Zureick-Brown, David [Voight, John] \(\ell\)-adic images of Galois for elliptic curves over \(\mathbb{Q}\)(and an appendix with John Voight). (English) Zbl 1499.14057 Forum Math. Sigma 10, Paper No. e62, 63 p. (2022). Reviewer: Riccardo Pengo (Bonn) MSC: 14H52 11G05 14G35 11F80 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Caro, Jerson; Pasten, Hector Watkins’s conjecture for elliptic curves with non-split multiplicative reduction. (English) Zbl 1502.11063 Proc. Am. Math. Soc. 150, No. 8, 3245-3251 (2022). Reviewer: Matteo Verzobio (Pisa) MSC: 11G05 11G18 11G40 × Cite Format Result Cite Review PDF Full Text: DOI
Giampietro, Sofia; Darmon, Henri A \(p\)-adic approach to singular moduli on Shimura curves. (English) Zbl 1528.11048 Involve 15, No. 2, 345-365 (2022). Reviewer: Chia-Fu Yu (Taipei) MSC: 11G15 11G18 14G20 14G35 × Cite Format Result Cite Review PDF Full Text: DOI
Michaud-Jacobs, Philippe Fermat’s last theorem and modular curves over real quadratic fields. (English) Zbl 1503.11071 Acta Arith. 203, No. 4, 319-351 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11D41 11F80 11G18 11G05 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bergström, Jonas; van der Geer, Gerard Picard modular forms and the cohomology of local systems on a Picard modular surface. (English) Zbl 1516.11053 Comment. Math. Helv. 97, No. 2, 305-381 (2022). MSC: 11F55 11G18 11G20 14H10 14G35 14J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kadets, Borys; Litt, Daniel Level structure, arithmetic representations, and noncommutative Siegel linearization. (English) Zbl 1502.14074 J. Reine Angew. Math. 788, 219-238 (2022). MSC: 14H30 14G17 14D20 14K10 14G35 14F35 11G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Xiao-Lei; Tan, Sheng-Li On the sharp lower bounds of modular invariants and fractional Dehn twist coefficients. (English) Zbl 1498.14063 J. Reine Angew. Math. 787, 163-195 (2022). Reviewer: Rong Du (Shanghai) MSC: 14G40 14H10 14D06 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Keller, Timo; Stoll, Michael Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces. (Vérification exacte de la conjecture BSD forte pour certaines variétés abéliennes absolument simples.) (English. French summary) Zbl 1497.11172 C. R., Math., Acad. Sci. Paris 360, 483-489 (2022). Reviewer: Kazuma Morita (Sapporo) MSC: 11G40 11-04 11G10 11G30 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Pila, Jonathan; Tsimerman, Jacob Independence of CM points in elliptic curves. (English) Zbl 1502.11068 J. Eur. Math. Soc. (JEMS) 24, No. 9, 3161-3182 (2022). Reviewer: Salman Abdulali (Greenville) MSC: 11G18 11G05 03C64 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Najman, Filip; Trbović, Antonela Splitting of primes in number fields generated by points on some modular curves. (English) Zbl 1507.11056 Res. Number Theory 8, No. 2, Paper No. 28, 18 p. (2022). MSC: 11G18 11G05 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krishnamoorthy, Raju Rank 2 local systems, Barsotti-Tate groups, and Shimura curves. (English) Zbl 1498.14054 Algebra Number Theory 16, No. 2, 231-259 (2022). MSC: 14G15 14G35 14H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishii, Shun On isogeny characters of Drinfeld modules of rank two. (English) Zbl 1505.11088 Math. Z. 301, No. 1, 455-470 (2022). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 14G05 11T06 11R58 11G18 14H45 11G10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Barbulescu, Razvan; Shinde, Sudarshan A classification of ECM-friendly families of elliptic curves using modular curves. (English) Zbl 1512.11097 Math. Comput. 91, No. 335, 1405-1436 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11Y05 11G05 11F80 14G35 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Ejder, Özlem Isolated points on \(X_1(\ell^n)\) with rational \(j\)-invariant. (English) Zbl 1497.11148 Res. Number Theory 8, No. 1, Paper No. 16, 7 p. (2022). MSC: 11G05 14G05 11G18 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Lue On locally analytic vectors of the completed cohomology of modular curves. (English) Zbl 1497.11135 Forum Math. Pi 10, Paper No. e7, 82 p. (2022). MSC: 11F77 11G18 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Binyamini, Gal Point counting for foliations over number fields. (English) Zbl 1490.14037 Forum Math. Pi 10, Paper No. e6, 39 p. (2022). Reviewer: Michel Waldschmidt (Paris) MSC: 14G05 11G50 03C64 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Jeon, Daeyeol Weierstrass points of modular curves at cusps. (English) Zbl 1495.11074 Acta Arith. 202, No. 2, 173-183 (2022). Reviewer: Lei Yang (Beijing) MSC: 11G18 14H55 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yifeng; Tian, Yichao; Xiao, Liang; Zhang, Wei; Zhu, Xinwen On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives. (English) Zbl 1493.11094 Invent. Math. 228, No. 1, 107-375 (2022). Reviewer: Matteo Longo (Padova) MSC: 11G05 11G18 11G40 11R34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Michaud-Rodgers, Philippe Quadratic points on non-split Cartan modular curves. (English) Zbl 1497.11153 Int. J. Number Theory 18, No. 2, 245-267 (2022). MSC: 11G05 11G18 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv