Jeon, Daeyeol Modular curves with infinitely many cubic points. (English) Zbl 07276963 J. Number Theory 219, 344-355 (2021). MSC: 11G18 11G30 PDF BibTeX XML Cite \textit{D. Jeon}, J. Number Theory 219, 344--355 (2021; Zbl 07276963) Full Text: DOI
Box, Josha Quadratic points on modular curves with infinite Mordell-Weil group. (English) Zbl 07268661 Math. Comput. 90, No. 327, 321-343 (2021). MSC: 11G05 14G05 11G18 PDF BibTeX XML Cite \textit{J. Box}, Math. Comput. 90, No. 327, 321--343 (2021; Zbl 07268661) Full Text: DOI
Frediani, Paola; Porru, Paola On the bielliptic and bihyperelliptic loci. (English) Zbl 07306313 Mich. Math. J. 69, Issue 3, 571-600 (2020). MSC: 14G35 14H15 14H40 PDF BibTeX XML Cite \textit{P. Frediani} and \textit{P. Porru}, Mich. Math. J. 69, Issue 3, 571--600 (2020; Zbl 07306313) Full Text: DOI Euclid
Dembélé, Lassina An intriguing hyperelliptic Shimura curve quotient of genus 16. (English) Zbl 07299332 Algebra Number Theory 14, No. 10, 2713-2742 (2020). MSC: 11G18 11F41 11F80 PDF BibTeX XML Cite \textit{L. Dembélé}, Algebra Number Theory 14, No. 10, 2713--2742 (2020; Zbl 07299332) Full Text: DOI
Liu, Yifeng; Tian, Yichao Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups. (English) Zbl 07275222 Algebra Number Theory 14, No. 8, 2059-2119 (2020). MSC: 14G35 11G05 11R34 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{Y. Tian}, Algebra Number Theory 14, No. 8, 2059--2119 (2020; Zbl 07275222) Full Text: DOI
Yu, Yih-Jeng A note on special fibers of Shimura curves and special representations. (English) Zbl 1443.11095 Taiwanese J. Math. 24, No. 3, 523-544 (2020). MSC: 11F80 11G18 14F06 14G22 14K10 PDF BibTeX XML Cite \textit{Y.-J. Yu}, Taiwanese J. Math. 24, No. 3, 523--544 (2020; Zbl 1443.11095) Full Text: DOI Euclid
Fité, Francesc; Guitart, Xavier Endomorphism algebras of geometrically split abelian surfaces over \(\mathbb{Q} \). (English) Zbl 07248663 Algebra Number Theory 14, No. 6, 1399-1421 (2020). MSC: 11G18 11G15 14K22 PDF BibTeX XML Cite \textit{F. Fité} and \textit{X. Guitart}, Algebra Number Theory 14, No. 6, 1399--1421 (2020; Zbl 07248663) Full Text: DOI
Bars, Francesc; González, Josep; Kamel, Mohamed Bielliptic quotient modular curves with \(N\) square-free. (English) Zbl 07226995 J. Number Theory 216, 380-402 (2020). MSC: 11G18 11Y50 14G35 PDF BibTeX XML Cite \textit{F. Bars} et al., J. Number Theory 216, 380--402 (2020; Zbl 07226995) Full Text: DOI
Klosin, Krzysztof; Papikian, Mihran Galois extensions and a conjecture of Ogg. (English) Zbl 1448.11115 Proc. Am. Math. Soc. 148, No. 9, 3821-3834 (2020). Reviewer: Lei Yang (Beijing) MSC: 11G18 14G35 11F80 PDF BibTeX XML Cite \textit{K. Klosin} and \textit{M. Papikian}, Proc. Am. Math. Soc. 148, No. 9, 3821--3834 (2020; Zbl 1448.11115) Full Text: DOI
Jeon, Daeyeol; Schweizer, Andreas Torsion of rational elliptic curves over different types of cubic fields. (English) Zbl 07219272 Int. J. Number Theory 16, No. 6, 1307-1323 (2020). MSC: 11G05 11G18 PDF BibTeX XML Cite \textit{D. Jeon} and \textit{A. Schweizer}, Int. J. Number Theory 16, No. 6, 1307--1323 (2020; Zbl 07219272) Full Text: DOI
Baldi, Gregorio On a conjecture of Buium and Poonen. (Sur une conjecture de Buium et Poonen.) (English. French summary) Zbl 1450.11059 Ann. Inst. Fourier 70, No. 2, 457-477 (2020). Reviewer: Lei Yang (Beijing) MSC: 11G18 11G05 14G35 PDF BibTeX XML Cite \textit{G. Baldi}, Ann. Inst. Fourier 70, No. 2, 457--477 (2020; Zbl 1450.11059) Full Text: DOI
Xue, Cong Cuspidal cohomology of stacks of shtukas. (English) Zbl 07206134 Compos. Math. 156, No. 6, 1079-1151 (2020). MSC: 14G35 14H60 11F70 PDF BibTeX XML Cite \textit{C. Xue}, Compos. Math. 156, No. 6, 1079--1151 (2020; Zbl 07206134) Full Text: DOI
Shankar, Ananth N.; Tang, Yunqing Exceptional splitting of reductions of abelian surfaces. (English) Zbl 07198458 Duke Math. J. 169, No. 3, 397-434 (2020). MSC: 11G05 14G40 11G18 PDF BibTeX XML Cite \textit{A. N. Shankar} and \textit{Y. Tang}, Duke Math. J. 169, No. 3, 397--434 (2020; Zbl 07198458) Full Text: DOI Euclid
Edixhoven, Bas; Richard, Rodolphe A \(\mod p\) variant of the André-Oort conjecture. (English) Zbl 07193611 Rend. Circ. Mat. Palermo (2) 69, No. 1, 151-157 (2020). Reviewer: Nicholas Triantafillou (Athens) MSC: 11G15 14G35 14K22 PDF BibTeX XML Cite \textit{B. Edixhoven} and \textit{R. Richard}, Rend. Circ. Mat. Palermo (2) 69, No. 1, 151--157 (2020; Zbl 07193611) Full Text: DOI
Mercuri, Pietro; Schoof, René Modular forms invariant under non-split Cartan subgroups. (English) Zbl 1437.11066 Math. Comput. 89, No. 324, 1969-1991 (2020). Reviewer: Ilker Inam (Bilecik) MSC: 11F30 14G35 11Y40 14Q05 20C33 PDF BibTeX XML Cite \textit{P. Mercuri} and \textit{R. Schoof}, Math. Comput. 89, No. 324, 1969--1991 (2020; Zbl 1437.11066) Full Text: DOI
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława \(p\)-adic cohomology of the Drinfeld tower: the 1-dimensional case. (Cohomologie \(p\)-adique de la tour de Drinfeld: Le cas de la dimension 1.) (French. English summary) Zbl 1451.11029 J. Am. Math. Soc. 33, No. 2, 311-362 (2020). Reviewer: Lekbir Chakri (Rabat) MSC: 11E95 11F80 11F85 14F30 14G35 14H99 20G25 22E35 PDF BibTeX XML Cite \textit{P. Colmez} et al., J. Am. Math. Soc. 33, No. 2, 311--362 (2020; Zbl 1451.11029) Full Text: DOI
Burungale, Ashay A.; Tian, Ye \(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin. (English) Zbl 1452.11068 Invent. Math. 220, No. 1, 211-253 (2020). Reviewer: Matteo Longo (Padova) MSC: 11G05 11G15 11G18 11G40 PDF BibTeX XML Cite \textit{A. A. Burungale} and \textit{Y. Tian}, Invent. Math. 220, No. 1, 211--253 (2020; Zbl 1452.11068) Full Text: DOI
Murakami, Yuya Intersection numbers of modular correspondences for genus zero modular curves. (English) Zbl 1440.11070 J. Number Theory 209, 167-194 (2020); corrigendum ibid. 219, 460-465 (2021). Reviewer: Kevin Keating (Gainesville) MSC: 11F32 14C17 11F46 14G35 11E12 PDF BibTeX XML Cite \textit{Y. Murakami}, J. Number Theory 209, 167--194 (2020; Zbl 1440.11070) Full Text: DOI arXiv
Baldi, Gregorio On the geometric Mumford-Tate conjecture for subvarieties of Shimura varieties. (English) Zbl 07144489 Proc. Am. Math. Soc. 148, No. 1, 95-102 (2020). MSC: 14G35 14H30 11F80 PDF BibTeX XML Cite \textit{G. Baldi}, Proc. Am. Math. Soc. 148, No. 1, 95--102 (2020; Zbl 07144489) Full Text: DOI arXiv
Jeon, Daeyeol; Kim, Chang Heon; Schweizer, Andreas Bielliptic intermediate modular curves. (English) Zbl 1436.11064 J. Pure Appl. Algebra 224, No. 1, 272-299 (2020). Reviewer: Noburo Ishii (Kyoto) MSC: 11G18 14H45 14H37 11G05 PDF BibTeX XML Cite \textit{D. Jeon} et al., J. Pure Appl. Algebra 224, No. 1, 272--299 (2020; Zbl 1436.11064) Full Text: DOI
Wang, Jian On the cyclic torsion of elliptic curves over cubic number fields. II. (English. French summary) Zbl 07246533 J. Théor. Nombres Bordx. 31, No. 3, 663-670 (2019). MSC: 11G05 11G18 PDF BibTeX XML Cite \textit{J. Wang}, J. Théor. Nombres Bordx. 31, No. 3, 663--670 (2019; Zbl 07246533) Full Text: DOI
Matar, Ahmed; Nekovář, Jan Kolyvagin’s result on the vanishing of \(\protect Ш(E/K)[p^\infty]\) and its consequences for anticyclotomic Iwasawa theory. (English) Zbl 07245881 J. Théor. Nombres Bordx. 31, No. 2, 455-501 (2019). MSC: 11G05 11R23 11G18 11G40 14G10 14G35 PDF BibTeX XML Cite \textit{A. Matar} and \textit{J. Nekovář}, J. Théor. Nombres Bordx. 31, No. 2, 455--501 (2019; Zbl 07245881) Full Text: DOI
Li, Wanlin; Mantovan, Elena; Pries, Rachel; Tang, Yunqing Newton polygons of cyclic covers of the projective line branched at three points. (English) Zbl 1436.11069 Balakrishnan, Jennifer S. (ed.) et al., Research directions in number theory. Women in numbers IV. Proceedings of the women in numbers, WIN4 workshop. Banff International Research Station, Banff, Alberta, Canada, August 14–18, 2017. Cham: Springer. Assoc. Women Math. Ser. 19, 115-132 (2019). MSC: 11G20 14H10 14H40 14G15 14K10 14G10 11M38 14K22 11G10 14H30 PDF BibTeX XML Cite \textit{W. Li} et al., Assoc. Women Math. Ser. 19, 115--132 (2019; Zbl 1436.11069) Full Text: DOI
Frączyk, Mikołaj; Raimbault, Jean Betti numbers of Shimura curves and arithmetic three-orbifolds. (English) Zbl 07154432 Algebra Number Theory 13, No. 10, 2359-2382 (2019). MSC: 11G18 11F06 20H10 PDF BibTeX XML Cite \textit{M. Frączyk} and \textit{J. Raimbault}, Algebra Number Theory 13, No. 10, 2359--2382 (2019; Zbl 07154432) Full Text: DOI
Weinstein, Jared Adic spaces. (English) Zbl 1451.14083 Cais, Bryden (ed.), Perfectoid spaces. Lectures from the 20th Arizona winter school, University of Arizona, Tuscon, AZ, USA, March 11–17, 2017. With an introduction by Peter Scholze. Providence, RI: American Mathematical Society (AMS). Math. Surv. Monogr. 242, 1-43 (2019). MSC: 14G45 14G20 14G22 14G35 14-01 11F85 11G20 PDF BibTeX XML Cite \textit{J. Weinstein}, Math. Surv. Monogr. 242, 1--43 (2019; Zbl 1451.14083)
Bourdon, Abbey; Ejder, Özlem; Liu, Yuan; Odumodu, Frances; Viray, Bianca On the level of modular curves that give rise to isolated \(j\)-invariants. (English) Zbl 07130219 Adv. Math. 357, Article ID 106824, 33 p. (2019). MSC: 11G18 14G35 11G05 PDF BibTeX XML Cite \textit{A. Bourdon} et al., Adv. Math. 357, Article ID 106824, 33 p. (2019; Zbl 07130219) Full Text: DOI arXiv
Stankewicz, James On the gonality of graphs and connections to orientable genus. (English) Zbl 1422.05038 New York J. Math. 25, 1048-1066 (2019). MSC: 05C10 11G18 14H51 PDF BibTeX XML Cite \textit{J. Stankewicz}, New York J. Math. 25, 1048--1066 (2019; Zbl 1422.05038) Full Text: Link
Sijsling, Jeroen Canonical models of arithmetic \((1;\infty)\)-curves. (English) Zbl 1423.14190 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, 149-165 (2019). MSC: 14H10 14G35 PDF BibTeX XML Cite \textit{J. Sijsling}, Contemp. Math. 722, 149--165 (2019; Zbl 1423.14190) Full Text: DOI
Gekeler, Ernst-Ulrich Towers of \(\mathrm{GL}(r)\)-type of modular curves. (English) Zbl 1444.11124 J. Reine Angew. Math. 754, 87-141 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11G18 11R32 11R58 14G35 PDF BibTeX XML Cite \textit{E.-U. Gekeler}, J. Reine Angew. Math. 754, 87--141 (2019; Zbl 1444.11124) Full Text: DOI
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 07097493 Ann. Math. (2) 189, No. 3, 885-944 (2019). MSC: 14G05 11Y50 11G50 11G18 PDF BibTeX XML Cite \textit{J. Balakrishnan} et al., Ann. Math. (2) 189, No. 3, 885--944 (2019; Zbl 07097493) Full Text: DOI
Bars, Francesc; Rovira, Josep González Bielliptic modular curves \(X_0^\ast(N)\) with square-free levels. (English) Zbl 07088082 Math. Comput. 88, No. 320, 2939-2957 (2019). MSC: 14G35 11G18 11G30 14G05 14H37 PDF BibTeX XML Cite \textit{F. Bars} and \textit{J. G. Rovira}, Math. Comput. 88, No. 320, 2939--2957 (2019; Zbl 07088082) Full Text: DOI
Li, Wanlin; Mantovan, Elena; Pries, Rachel; Tang, Yunqing Newton polygons arising from special families of cyclic covers of the projective line. (English) Zbl 07086426 Res. Number Theory 5, No. 1, Paper No. 12, 31 p. (2019). MSC: 11G18 11G20 11M38 14G10 14G35 11G10 14H10 14H30 14H40 14K22 PDF BibTeX XML Cite \textit{W. Li} et al., Res. Number Theory 5, No. 1, Paper No. 12, 31 p. (2019; Zbl 07086426) Full Text: DOI
Wei, Fu-Tsun; Yamazaki, Takao Rational torsion of generalized Jacobians of modular and Drinfeld modular curves. (English) Zbl 1444.11126 Forum Math. 31, No. 3, 647-659 (2019). MSC: 11G09 11G18 11F03 14H40 14G35 PDF BibTeX XML Cite \textit{F.-T. Wei} and \textit{T. Yamazaki}, Forum Math. 31, No. 3, 647--659 (2019; Zbl 1444.11126) Full Text: DOI
Yang, Yifan Special values of hypergeometric functions and periods of CM elliptic curves. (English) Zbl 1443.11115 Wood, David R. (ed.) et al., 2017 MATRIX annals. Cham: Springer. MATRIX Book Ser. 2, 487-489 (2019). MSC: 11G18 11G15 11G05 11F12 PDF BibTeX XML Cite \textit{Y. Yang}, MATRIX Book Ser. 2, 487--489 (2019; Zbl 1443.11115) Full Text: DOI
Ozman, Ekin; Siksek, Samir Quadratic points on modular curves. (English) Zbl 07066488 Math. Comput. 88, No. 319, 2461-2484 (2019). MSC: 11G05 14G05 11G18 PDF BibTeX XML Cite \textit{E. Ozman} and \textit{S. Siksek}, Math. Comput. 88, No. 319, 2461--2484 (2019; Zbl 07066488) Full Text: DOI arXiv
Morrow, Jackson S. Composite images of Galois for elliptic curves over \(\mathbf {Q}\) and entanglement fields. (English) Zbl 07066485 Math. Comput. 88, No. 319, 2389-2421 (2019). MSC: 11F80 11G05 11D45 11G18 PDF BibTeX XML Cite \textit{J. S. Morrow}, Math. Comput. 88, No. 319, 2389--2421 (2019; Zbl 07066485) Full Text: DOI
Castano-Bernard, Carlos On the parity of the index of ramified Heegner divisors. (English) Zbl 07065827 Bol. Soc. Mat. Mex., III. Ser. 25, No. 1, 1-11 (2019). MSC: 11G05 11G18 PDF BibTeX XML Cite \textit{C. Castano-Bernard}, Bol. Soc. Mat. Mex., III. Ser. 25, No. 1, 1--11 (2019; Zbl 07065827) Full Text: DOI
Liu, Yifeng Bounding cubic-triple product Selmer groups of elliptic curves. (English) Zbl 07058152 J. Eur. Math. Soc. (JEMS) 21, No. 5, 1411-1508 (2019). MSC: 11G05 11R34 14G35 PDF BibTeX XML Cite \textit{Y. Liu}, J. Eur. Math. Soc. (JEMS) 21, No. 5, 1411--1508 (2019; Zbl 07058152) Full Text: DOI arXiv
Shiga, Hironori The Shimura canonical model for the quaternion algebra of discriminant 6 on the Ihara-Kurihara conic. (English) Zbl 1444.11129 J. Number Theory 201, 257-279 (2019). MSC: 11G15 11G18 14G35 33C05 PDF BibTeX XML Cite \textit{H. Shiga}, J. Number Theory 201, 257--279 (2019; Zbl 1444.11129) Full Text: DOI
Li, Chao 2-Selmer groups, 2-class groups and rational points on elliptic curves. (English) Zbl 1448.11108 Trans. Am. Math. Soc. 371, No. 7, 4631-4653 (2019). MSC: 11G05 14G35 11G40 11F33 PDF BibTeX XML Cite \textit{C. Li}, Trans. Am. Math. Soc. 371, No. 7, 4631--4653 (2019; Zbl 1448.11108) Full Text: DOI
Colombo, Elisabetta; Frediani, Paola A bound on the dimension of a totally geodesic submanifold in the Prym locus. (English) Zbl 1412.14019 Collect. Math. 70, No. 1, 51-57 (2019). Reviewer: Nathan Grieve (East Lansing) MSC: 14H10 14K12 PDF BibTeX XML Cite \textit{E. Colombo} and \textit{P. Frediani}, Collect. Math. 70, No. 1, 51--57 (2019; Zbl 1412.14019) Full Text: DOI arXiv
Arapura, Donu Algebraic cycles on genus-2 modular fourfolds. (English) Zbl 1412.14006 Algebra Number Theory 13, No. 1, 211-225 (2019). Reviewer: Alberto Collino (Verzuolo) MSC: 14C25 14C30 14J30 14G35 PDF BibTeX XML Cite \textit{D. Arapura}, Algebra Number Theory 13, No. 1, 211--225 (2019; Zbl 1412.14006) Full Text: DOI
Chen, Imin; Salari Sharif, Parinaz An explicit correspondence of modular curves. (English) Zbl 07038695 J. Number Theory 200, 185-204 (2019). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{I. Chen} and \textit{P. Salari Sharif}, J. Number Theory 200, 185--204 (2019; Zbl 07038695) Full Text: DOI arXiv
Ballet, Stéphane; Zykin, Alexey Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain finite fields. (English) Zbl 1408.14189 Des. Codes Cryptography 87, No. 2-3, 517-525 (2019). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14Q05 14Q20 11Y16 12Y05 PDF BibTeX XML Cite \textit{S. Ballet} and \textit{A. Zykin}, Des. Codes Cryptography 87, No. 2--3, 517--525 (2019; Zbl 1408.14189) Full Text: DOI
Lu, Xin; Zuo, Kang The Oort conjecture on Shimura curves in the Torelli locus of curves. (English. French summary) Zbl 07026465 J. Math. Pures Appl. (9) 123, 41-77 (2019). MSC: 11G15 14G35 14H40 14D07 14K22 PDF BibTeX XML Cite \textit{X. Lu} and \textit{K. Zuo}, J. Math. Pures Appl. (9) 123, 41--77 (2019; Zbl 07026465) Full Text: DOI arXiv
Fukuda, Takashi; Komatsu, Keiichi; Hashimoto, Kiichiro Constructing ray class fields of a real quadratic field using elliptic curves. (English) Zbl 1441.11142 Acta Arith. 187, No. 3, 219-232 (2019). MSC: 11G05 11R37 11Y40 PDF BibTeX XML Cite \textit{T. Fukuda} et al., Acta Arith. 187, No. 3, 219--232 (2019; Zbl 1441.11142) Full Text: DOI
Hoshi, Yuichiro; Iijima, Yu A pro-\(l\) version of the congruence subgroup problem for mapping class groups of genus one. (English) Zbl 06993577 J. Algebra 520, 1-31 (2019). MSC: 14H30 14H10 11G18 20F65 PDF BibTeX XML Cite \textit{Y. Hoshi} and \textit{Y. Iijima}, J. Algebra 520, 1--31 (2019; Zbl 06993577) Full Text: DOI
Amorós, Laia; Milione, Piermarco Mumford curves covering \(p\)-adic Shimura curves and their fundamental domains. (English) Zbl 06993262 Trans. Am. Math. Soc. 371, No. 2, 1119-1149 (2019). MSC: 11G18 11R52 14G35 14G22 PDF BibTeX XML Cite \textit{L. Amorós} and \textit{P. Milione}, Trans. Am. Math. Soc. 371, No. 2, 1119--1149 (2019; Zbl 06993262) Full Text: DOI
Dose, Valerio; Mercuri, Pietro; Stirpe, Claudio Double covers of Cartan modular curves. (English) Zbl 06963702 J. Number Theory 195, 96-114 (2019). MSC: 14G35 11G18 14Q05 PDF BibTeX XML Cite \textit{V. Dose} et al., J. Number Theory 195, 96--114 (2019; Zbl 06963702) Full Text: DOI
Zhang, Wei Periods, cycles, and \(L\)-functions: a relative trace formula approach. (English) Zbl 1443.11078 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 487-521 (2018). MSC: 11F67 11F72 11F70 14C25 14G35 14H60 PDF BibTeX XML Cite \textit{W. Zhang}, in: Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 487--521 (2018; Zbl 1443.11078) Full Text: DOI
Lafforgue, Vincent Shtukas for reductive groups and Langlands correspondence for function fields. (English) Zbl 1443.11248 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 635-668 (2018). MSC: 11S37 14G35 14H60 11F70 PDF BibTeX XML Cite \textit{V. Lafforgue}, in: Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 635--668 (2018; Zbl 1443.11248) Full Text: DOI
Arai, Keisuke A survey of rational points on Shimura curves. (English) Zbl 1425.11126 RIMS Kôkyûroku Bessatsu B72, 197-207 (2018). MSC: 11G18 14G05 11G10 11G15 PDF BibTeX XML Cite \textit{K. Arai}, RIMS Kôkyûroku Bessatsu B72, 197--207 (2018; Zbl 1425.11126)
Gross, Benedict H. On Hecke’s decomposition of the regular differentials on the modular curve of prime level. (English) Zbl 07096245 Res. Math. Sci. 5, No. 1, Paper No. 1, 19 p. (2018). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 14G35 PDF BibTeX XML Cite \textit{B. H. Gross}, Res. Math. Sci. 5, No. 1, Paper No. 1, 19 p. (2018; Zbl 07096245) Full Text: DOI
Hoshi, Yuichiro; Iijima, Yu The pro-\(l\) outer Galois actions associated to modular curves of prime power level. (English. French summary) Zbl 1420.14059 J. Théor. Nombres Bordx. 30, No. 3, 781-799 (2018). MSC: 14H30 11G18 PDF BibTeX XML Cite \textit{Y. Hoshi} and \textit{Y. Iijima}, J. Théor. Nombres Bordx. 30, No. 3, 781--799 (2018; Zbl 1420.14059) Full Text: DOI
Paladino, Laura On 5-torsion of CM elliptic curves. (English) Zbl 1439.11138 Riv. Mat. Univ. Parma (N.S.) 9, No. 2, 329-350 (2018). MSC: 11G05 11F80 11G18 PDF BibTeX XML Cite \textit{L. Paladino}, Riv. Mat. Univ. Parma (N.S.) 9, No. 2, 329--350 (2018; Zbl 1439.11138) Full Text: arXiv
Česnavičius, Kęstutis The Manin constant in the semistable case. (English) Zbl 1430.11086 Compos. Math. 154, No. 9, 1889-1920 (2018). Reviewer: Andrea Bandini (Pisa) MSC: 11G05 11G10 11G18 11F11 14G35 PDF BibTeX XML Cite \textit{K. Česnavičius}, Compos. Math. 154, No. 9, 1889--1920 (2018; Zbl 1430.11086) Full Text: DOI arXiv
Moonen, Ben The Deligne-Mostow List and special families of surfaces. (English) Zbl 1411.14041 Int. Math. Res. Not. 2018, No. 18, 5823-5855 (2018). Reviewer: Ben Anthes (Marburg) MSC: 14J10 14J28 14J29 PDF BibTeX XML Cite \textit{B. Moonen}, Int. Math. Res. Not. 2018, No. 18, 5823--5855 (2018; Zbl 1411.14041) Full Text: DOI arXiv
Hernandez, Valentin \(\mu\)-ordinary Hasse invariants. (Invariants de Hasse \(\mu\)-ordinaires.) (French. English summary) Zbl 1423.14145 Ann. Inst. Fourier 68, No. 4, 1519-1607 (2018). MSC: 14F30 11G18 11G25 14G35 14L05 11G07 PDF BibTeX XML Cite \textit{V. Hernandez}, Ann. Inst. Fourier 68, No. 4, 1519--1607 (2018; Zbl 1423.14145) Full Text: DOI
Bruin, Nils; Nasserden, Brett Arithmetic aspects of the Burkhardt quartic threefold. (English) Zbl 1446.11111 J. Lond. Math. Soc., II. Ser. 98, No. 3, 536-556 (2018). MSC: 11G10 11G18 11G30 14G10 14H10 14K10 PDF BibTeX XML Cite \textit{N. Bruin} and \textit{B. Nasserden}, J. Lond. Math. Soc., II. Ser. 98, No. 3, 536--556 (2018; Zbl 1446.11111) Full Text: DOI
Parent, Pierre Heights on squares of modular curves. (English) Zbl 1446.11116 Algebra Number Theory 12, No. 9, 2065-2122 (2018). MSC: 11G18 14G05 14G40 PDF BibTeX XML Cite \textit{P. Parent}, Algebra Number Theory 12, No. 9, 2065--2122 (2018; Zbl 1446.11116) Full Text: DOI
Sarma, Naba Kanta; Saikia, Anupam Torsion of elliptic curves over imaginary quadratic fields of class number 1. (English) Zbl 1429.11109 Rocky Mt. J. Math. 48, No. 8, 2689-2703 (2018). MSC: 11G05 11G18 PDF BibTeX XML Cite \textit{N. K. Sarma} and \textit{A. Saikia}, Rocky Mt. J. Math. 48, No. 8, 2689--2703 (2018; Zbl 1429.11109) Full Text: DOI Euclid
Chen, Ke; Lu, Xin; Zuo, Kang The Oort conjecture for Shimura curves of small unitary rank. (English) Zbl 1403.14025 Commun. Math. Stat. 6, No. 3, 249-268 (2018). Reviewer: Jeroen Sijsling (Ulm) MSC: 14D06 14K22 11G15 PDF BibTeX XML Cite \textit{K. Chen} et al., Commun. Math. Stat. 6, No. 3, 249--268 (2018; Zbl 1403.14025) Full Text: DOI arXiv
Mercuri, Pietro Equations and rational points of the modular curves \(X_0^+(p)\). (English) Zbl 06979681 Ramanujan J. 47, No. 2, 291-308 (2018). MSC: 11G18 14H25 PDF BibTeX XML Cite \textit{P. Mercuri}, Ramanujan J. 47, No. 2, 291--308 (2018; Zbl 06979681) Full Text: DOI
Scholze, Peter On the \(p\)-adic cohomology of the Lubin-Tate tower. (English. French summary) Zbl 1419.14031 Ann. Sci. Éc. Norm. Supér. (4) 51, No. 4, 811-863 (2018). Reviewer: Judith Ludwig (Heidelberg) MSC: 14G22 11S37 11F80 11F85 PDF BibTeX XML Cite \textit{P. Scholze}, Ann. Sci. Éc. Norm. Supér. (4) 51, No. 4, 811--863 (2018; Zbl 1419.14031) Full Text: Link arXiv
Hu, Yongquan; Wang, Haoran Multiplicity one for the \(\mathrm {mod} p\) cohomology of Shimura curves: the tame case. (English) Zbl 06965424 Math. Res. Lett. 25, No. 3, 843-873 (2018). MSC: 11F80 11F33 11G18 PDF BibTeX XML Cite \textit{Y. Hu} and \textit{H. Wang}, Math. Res. Lett. 25, No. 3, 843--873 (2018; Zbl 06965424) Full Text: DOI
Yu, Yih-Jeng A note on modularity lifting theorems in higher weights. (English) Zbl 1443.11094 Taiwanese J. Math. 22, No. 2, 275-300 (2018). MSC: 11F80 11G18 14D05 14F06 14G35 PDF BibTeX XML Cite \textit{Y.-J. Yu}, Taiwanese J. Math. 22, No. 2, 275--300 (2018; Zbl 1443.11094) Full Text: DOI Euclid
Akbary, Amir (ed.); Gun, Sanoli (ed.) Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. (English) Zbl 1403.11002 Springer Proceedings in Mathematics & Statistics 251. Cham: Springer (ISBN 978-3-319-97378-4/hbk; 978-3-319-97379-1/ebook). vi, 528 p. (2018). MSC: 11-06 11G05 11M36 11G10 11G18 14G35 94B27 00B25 PDF BibTeX XML Cite \textit{A. Akbary} (ed.) and \textit{S. Gun} (ed.), Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. Cham: Springer (2018; Zbl 1403.11002) Full Text: DOI
Holzapfel, Rolf-Peter Indefinite Eisenstein lattices: a modern ball-rendevous with Poincarè, Picard, Hecke, Shimura, Mumford, Deligne and Hirzebruch. (English) Zbl 1441.11087 J. Geom. Symmetry Phys. 47, 1-40 (2018). MSC: 11F11 11F30 14G35 20H05 30F45 PDF BibTeX XML Cite \textit{R.-P. Holzapfel}, J. Geom. Symmetry Phys. 47, 1--40 (2018; Zbl 1441.11087) Full Text: DOI Euclid
Kamienny, Sheldon; Newman, Burton Points of order 13 on elliptic curves. (English) Zbl 1440.11095 Funct. Approximatio, Comment. Math. 58, No. 1, 121-129 (2018). MSC: 11G05 11G10 11G18 PDF BibTeX XML Cite \textit{S. Kamienny} and \textit{B. Newman}, Funct. Approximatio, Comment. Math. 58, No. 1, 121--129 (2018; Zbl 1440.11095) Full Text: DOI Euclid arXiv
Milione, Piermarco CM points on Shimura curves and \(p\)-adic binary quadratic forms. (English) Zbl 1435.11087 Acta Arith. 183, No. 3, 237-256 (2018). MSC: 11G18 11E08 11G15 PDF BibTeX XML Cite \textit{P. Milione}, Acta Arith. 183, No. 3, 237--256 (2018; Zbl 1435.11087) Full Text: DOI arXiv
Krishnamoorthy, Raju Correspondences without a core. (English) Zbl 06921172 Algebra Number Theory 12, No. 5, 1173-1214 (2018). MSC: 14G35 05C25 05C63 14H05 37P55 PDF BibTeX XML Cite \textit{R. Krishnamoorthy}, Algebra Number Theory 12, No. 5, 1173--1214 (2018; Zbl 06921172) Full Text: DOI
Longo, Matteo; Rotger, Víctor; De Vera-Piquero, Carlos Heegner points on Hijikata-Pizer-Shemanske curves and the Birch and Swinnerton-Dyer conjecture. (English) Zbl 1405.11075 Publ. Mat., Barc. 62, No. 2, 355-396 (2018). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11G18 11G40 PDF BibTeX XML Cite \textit{M. Longo} et al., Publ. Mat., Barc. 62, No. 2, 355--396 (2018; Zbl 1405.11075) Full Text: DOI Euclid
Lemma, Francesco On the residue of Eisenstein classes of Siegel varieties. (English) Zbl 1439.11154 Glasg. Math. J. 60, No. 3, 539-553 (2018). MSC: 11G55 14G35 11F41 14H52 PDF BibTeX XML Cite \textit{F. Lemma}, Glasg. Math. J. 60, No. 3, 539--553 (2018; Zbl 1439.11154) Full Text: DOI arXiv
Kim, Taekyung; Yoo, Hwajong The action of the Hecke operators on the component groups of modular Jacobian varieties. (English) Zbl 1447.11065 Pac. J. Math. 296, No. 2, 341-355 (2018). MSC: 11G05 11G18 14G35 PDF BibTeX XML Cite \textit{T. Kim} and \textit{H. Yoo}, Pac. J. Math. 296, No. 2, 341--355 (2018; Zbl 1447.11065) Full Text: DOI
Heim, Bernhard; Kaiser, Christian; Murase, Atsushi Modular curves and symmetries of Hecke type. (English) Zbl 1439.11141 Int. J. Math. 29, No. 7, Article ID 1850045, 6 p. (2018). MSC: 11G15 11G18 14G35 14H52 14K22 PDF BibTeX XML Cite \textit{B. Heim} et al., Int. J. Math. 29, No. 7, Article ID 1850045, 6 p. (2018; Zbl 1439.11141) Full Text: DOI
Bergunde, Felix; Gehrmann, Lennart Leading terms of anticyclotomic Stickelberger elements and \(p\)-adic periods. (English) Zbl 1451.11039 Trans. Am. Math. Soc. 370, No. 9, 6297-6329 (2018). MSC: 11F67 11F75 11G18 11G40 PDF BibTeX XML Cite \textit{F. Bergunde} and \textit{L. Gehrmann}, Trans. Am. Math. Soc. 370, No. 9, 6297--6329 (2018; Zbl 1451.11039) Full Text: DOI
Kim, Wansu Rapoport-Zink spaces of Hodge type. (English) Zbl 1423.14146 Forum Math. Sigma 6, Paper No. e8, 110 p. (2018). MSC: 14F30 14L05 11G05 14G35 PDF BibTeX XML Cite \textit{W. Kim}, Forum Math. Sigma 6, Paper No. e8, 110 p. (2018; Zbl 1423.14146) Full Text: DOI arXiv
Klosin, Krzysztof; Papikian, Mihran On Ribet’s isogeny for \(J_0(65)\). (English) Zbl 1429.11113 Proc. Am. Math. Soc. 146, No. 8, 3307-3320 (2018). Reviewer: Laia Amorós (Espoo) MSC: 11G18 PDF BibTeX XML Cite \textit{K. Klosin} and \textit{M. Papikian}, Proc. Am. Math. Soc. 146, No. 8, 3307--3320 (2018; Zbl 1429.11113) Full Text: DOI arXiv
Lafforgue, Vincent Shutkas for reductive groups and global Langlands parametrization. (Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale.) (French. English summary) Zbl 1395.14017 J. Am. Math. Soc. 31, No. 3, 719-891 (2018). Reviewer: J. G. M. Mars (Utrecht) MSC: 14G35 14H60 11F70 22E55 PDF BibTeX XML Cite \textit{V. Lafforgue}, J. Am. Math. Soc. 31, No. 3, 719--891 (2018; Zbl 1395.14017) Full Text: DOI
Clark, Pete L.; Stankewicz, James Hasse principle violations for Atkin-Lehner twists of Shimura curves. (English) Zbl 1448.11113 Proc. Am. Math. Soc. 146, No. 7, 2839-2851 (2018). MSC: 11G18 11G30 PDF BibTeX XML Cite \textit{P. L. Clark} and \textit{J. Stankewicz}, Proc. Am. Math. Soc. 146, No. 7, 2839--2851 (2018; Zbl 1448.11113) Full Text: DOI arXiv
Derickx, Maarten; Mazur, Barry; Kamienny, Sheldon 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). MSC: 11G05 11G18 14G35 14H51 PDF BibTeX XML Cite \textit{M. Derickx} et al., Contemp. Math. 701, 81--104 (2018; Zbl 1440.11092) Full Text: DOI
Castaño-Bernard, Carlos A refinement of a conjecture of Gross, Kohnen, and Zagier. (English) Zbl 1440.11091 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, 53-68 (2018). MSC: 11G05 11G18 11G40 PDF BibTeX XML Cite \textit{C. Castaño-Bernard}, Contemp. Math. 701, 53--68 (2018; Zbl 1440.11091) Full Text: DOI
Bars, Francesc On quadratic points of classical modular curves. (English) Zbl 1440.11103 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, 17-34 (2018). MSC: 11G18 11G30 14G05 14H25 14K05 11-02 PDF BibTeX XML Cite \textit{F. Bars}, Contemp. Math. 701, 17--34 (2018; Zbl 1440.11103) Full Text: DOI
Arai, Keisuke A note on algebraic points on Shimura curves. (English) Zbl 1440.11102 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, 9-15 (2018). MSC: 11G18 14G05 11G10 11G15 11-02 PDF BibTeX XML Cite \textit{K. Arai}, Contemp. Math. 701, 9--15 (2018; Zbl 1440.11102) Full Text: DOI
Betina, Adel; Lecouturier, Emmanuel Congruence formulas for Legendre modular polynomials. (English) Zbl 1428.14039 J. Number Theory 188, 71-87 (2018). MSC: 14G35 14G22 11S80 14H52 14K22 14K10 PDF BibTeX XML Cite \textit{A. Betina} and \textit{E. Lecouturier}, J. Number Theory 188, 71--87 (2018; Zbl 1428.14039) Full Text: DOI
Nagano, Atsuhira On rings of differential operators derived from automorphic forms. (English) Zbl 1409.16019 Complex Anal. Oper. Theory 12, No. 2, 377-414 (2018). MSC: 16S32 32N10 14G35 14H70 33E05 PDF BibTeX XML Cite \textit{A. Nagano}, Complex Anal. Oper. Theory 12, No. 2, 377--414 (2018; Zbl 1409.16019) Full Text: DOI
Jeon, Daeyeol Bielliptic modular curves \(X_0^+(N)\). (English) Zbl 1411.11055 J. Number Theory 185, 319-338 (2018). MSC: 11G18 14H45 PDF BibTeX XML Cite \textit{D. Jeon}, J. Number Theory 185, 319--338 (2018; Zbl 1411.11055) Full Text: DOI
Wang, Jian On the cyclic torsion of elliptic curves over cubic number fields. (English) Zbl 1433.11077 J. Number Theory 183, 291-308 (2018). MSC: 11G05 11G18 PDF BibTeX XML Cite \textit{J. Wang}, J. Number Theory 183, 291--308 (2018; Zbl 1433.11077) Full Text: DOI
Sugiyama, Kennichi Zeta functions of Ramanujan graphs and modular forms. (English) Zbl 1388.05091 Comment. Math. Univ. St. Pauli 66, No. 1-2, 29-43 (2017). MSC: 05C30 05C38 05C50 11G18 11G20 11M38 11M99 14G10 PDF BibTeX XML Cite \textit{K. Sugiyama}, Comment. Math. Univ. St. Pauli 66, No. 1--2, 29--43 (2017; Zbl 1388.05091) Full Text: arXiv
Sugiyama, Ken-ichi The Ihara zeta functions of a Ramanujan graph. (English) Zbl 1393.05157 RIMS Kôkyûroku Bessatsu B66, 195-211 (2017). MSC: 05C30 05C38 05C50 11G18 11G20 11M38 11M99 14G10 PDF BibTeX XML Cite \textit{K.-i. Sugiyama}, RIMS Kôkyûroku Bessatsu B66, 195--211 (2017; Zbl 1393.05157)
Pila, Jonathan; Tsimerman, Jacob Multiplicative relations among singular moduli. (English) Zbl 1408.14092 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 17, No. 4, 1357-1382 (2017). MSC: 14G35 03C64 11G05 PDF BibTeX XML Cite \textit{J. Pila} and \textit{J. Tsimerman}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 17, No. 4, 1357--1382 (2017; Zbl 1408.14092) Full Text: DOI arXiv
Van Order, Jeanine \(p\)-adic interpolation of automorphic periods for GL\(_2\). (English) Zbl 1434.11109 Doc. Math. 22, 1467-1499 (2017). MSC: 11F67 11F41 11F33 11F70 PDF BibTeX XML Cite \textit{J. Van Order}, Doc. Math. 22, 1467--1499 (2017; Zbl 1434.11109) Full Text: DOI
Molina, Santiago Galois action on \(\bar{\mathbb Q}\)-isogeny classes of abelian \(L\)-surfaces with quaternionic multiplication. (English) Zbl 1404.11087 Acta Arith. 181, No. 4, 369-392 (2017). MSC: 11G18 11G10 PDF BibTeX XML Cite \textit{S. Molina}, Acta Arith. 181, No. 4, 369--392 (2017; Zbl 1404.11087) Full Text: DOI
Hu, Yongquan An application of a theorem of Emerton to mod \(p\) representations of \(\mathrm{GL}_2\). (English) Zbl 1408.22018 J. Lond. Math. Soc., II. Ser. 96, No. 3, 545-564 (2017). Reviewer: Min Ho Lee (Cedar Falls) MSC: 22E50 22E55 PDF BibTeX XML Cite \textit{Y. Hu}, J. Lond. Math. Soc., II. Ser. 96, No. 3, 545--564 (2017; Zbl 1408.22018) Full Text: DOI arXiv
Tian, Ye Congruent number problem. (English) Zbl 1402.11048 ICCM Not. 5, No. 1, 51-61 (2017). MSC: 11D09 11G05 11G40 PDF BibTeX XML Cite \textit{Y. Tian}, ICCM Not. 5, No. 1, 51--61 (2017; Zbl 1402.11048) Full Text: DOI
Bruin, Peter; Najman, Filip Fields of definition of elliptic curves with prescribed torsion. (English) Zbl 06814179 Acta Arith. 181, No. 1, 85-95 (2017). MSC: 11G05 11G18 PDF BibTeX XML Cite \textit{P. Bruin} and \textit{F. Najman}, Acta Arith. 181, No. 1, 85--95 (2017; Zbl 06814179) Full Text: DOI arXiv
Habegger, Philipp; Pazuki, Fabien Bad reduction of genus \(2\) curves with CM jacobian varieties. Numerical examples. (English) Zbl 06810459 Compos. Math. 153, No. 12, 2534-2576 (2017). MSC: 14K22 11G18 11G30 11G50 14H40 14G40 PDF BibTeX XML Cite \textit{P. Habegger} and \textit{F. Pazuki}, Compos. Math. 153, No. 12, 2534--2576 (2017; Zbl 06810459) Full Text: DOI arXiv
Yun, Zhiwei; Zhang, Wei Shtukas and the Taylor expansion of \(L\)-functions. (English) Zbl 1385.11032 Ann. Math. (2) 186, No. 3, 767-911 (2017). Reviewer: J. G. M. Mars (Utrecht) MSC: 11F67 14G35 11F70 14H60 PDF BibTeX XML Cite \textit{Z. Yun} and \textit{W. Zhang}, Ann. Math. (2) 186, No. 3, 767--911 (2017; Zbl 1385.11032) Full Text: DOI
Papikian, Mihran; Wei, Fu-Tsun The rational torsion subgroups of Drinfeld modular Jacobians and Eisenstein pseudo-harmonic cochains. (English) Zbl 1385.11039 Math. Z. 287, No. 1-2, 521-546 (2017). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 11G18 11F12 PDF BibTeX XML Cite \textit{M. Papikian} and \textit{F.-T. Wei}, Math. Z. 287, No. 1--2, 521--546 (2017; Zbl 1385.11039) Full Text: DOI arXiv
Daw, Christopher; Harris, Adam Categoricity of modular and Shimura curves. (English) Zbl 1423.03135 J. Inst. Math. Jussieu 16, No. 5, 1075-1101 (2017). MSC: 03C65 03C35 14G35 11G18 03C10 11G05 PDF BibTeX XML Cite \textit{C. Daw} and \textit{A. Harris}, J. Inst. Math. Jussieu 16, No. 5, 1075--1101 (2017; Zbl 1423.03135) Full Text: DOI arXiv