Kudla, Stephen S. On the subring of special cycles. (English) Zbl 07524162 Forum Math. 34, No. 3, 645-667 (2022). MSC: 14C25 11F27 PDF BibTeX XML Cite \textit{S. S. Kudla}, Forum Math. 34, No. 3, 645--667 (2022; Zbl 07524162) Full Text: DOI OpenURL
Koh, Hanveen Toward a conjecture of Pappas and Rapoport on a scheme attached to the symplectic group. (English) Zbl 07517837 Commun. Algebra 50, No. 2, 784-802 (2022). MSC: 14G35 05E14 14M15 20G05 PDF BibTeX XML Cite \textit{H. Koh}, Commun. Algebra 50, No. 2, 784--802 (2022; Zbl 07517837) Full Text: DOI OpenURL
Pila, Jonathan Point-counting and the Zilber-Pink conjecture (to appear). (English) Zbl 07516542 Cambridge Tracts in Mathematics 228. Cambridge: Cambridge University Press (ISBN 978-1-00-917032-1/hbk). (2022). MSC: 11-01 14-01 11G18 14G05 14G35 PDF BibTeX XML OpenURL
Mihatsch, Andreas Local constancy of intersection numbers. (English) Zbl 07516277 Algebra Number Theory 16, No. 2, 505-519 (2022). MSC: 14C17 11G18 PDF BibTeX XML Cite \textit{A. Mihatsch}, Algebra Number Theory 16, No. 2, 505--519 (2022; Zbl 07516277) Full Text: DOI OpenURL
Krishnamoorthy, Raju Rank 2 local systems, Barsotti-Tate groups, and Shimura curves. (English) Zbl 07516268 Algebra Number Theory 16, No. 2, 231-259 (2022). MSC: 14G15 14G35 14H25 PDF BibTeX XML Cite \textit{R. Krishnamoorthy}, Algebra Number Theory 16, No. 2, 231--259 (2022; Zbl 07516268) Full Text: DOI OpenURL
Barbulescu, Razvan; Shinde, Sudarshan A classification of ECM-friendly families of elliptic curves using modular curves. (English) Zbl 07506855 Math. Comput. 91, No. 335, 1405-1436 (2022). MSC: 11Y05 11F80 14G35 PDF BibTeX XML Cite \textit{R. Barbulescu} and \textit{S. Shinde}, Math. Comput. 91, No. 335, 1405--1436 (2022; Zbl 07506855) Full Text: DOI OpenURL
Hida, Haruzo The universal ordinary deformation ring associated to a real quadratic field. (English) Zbl 07501854 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 17, 51 p. (2022). MSC: 11R23 11F25 11F33 11F80 11F11 11G18 11F27 PDF BibTeX XML Cite \textit{H. Hida}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 17, 51 p. (2022; Zbl 07501854) Full Text: DOI OpenURL
Binyamini, Gal Point counting for foliations over number fields. (English) Zbl 07497568 Forum Math. Pi 10, Paper No. e6, 39 p. (2022). MSC: 14G05 11G50 03C64 14G35 PDF BibTeX XML Cite \textit{G. Binyamini}, Forum Math. Pi 10, Paper No. e6, 39 p. (2022; Zbl 07497568) Full Text: DOI OpenURL
Li, Chao; Liu, Yifeng Chow groups and \(L\)-derivatives of automorphic motives for unitary groups, II. (English) Zbl 07497567 Forum Math. Pi 10, Paper No. e5, 71 p. (2022). MSC: 11G18 11G40 11G50 14C15 PDF BibTeX XML Cite \textit{C. Li} and \textit{Y. Liu}, Forum Math. Pi 10, Paper No. e5, 71 p. (2022; Zbl 07497567) Full Text: DOI OpenURL
Jeon, Daeyeol Weierstrass points of modular curves at cusps. (English) Zbl 07496903 Acta Arith. 202, No. 2, 173-183 (2022). MSC: 11G18 14H55 PDF BibTeX XML Cite \textit{D. Jeon}, Acta Arith. 202, No. 2, 173--183 (2022; Zbl 07496903) Full Text: DOI OpenURL
Liu, Yifeng; Tian, Yichao; Xiao, Liang; Zhang, Wei; Zhu, Xinwen On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives. (English) Zbl 07495375 Invent. Math. 228, No. 1, 107-375 (2022). MSC: 11G05 11G18 11G40 11R34 PDF BibTeX XML Cite \textit{Y. Liu} et al., Invent. Math. 228, No. 1, 107--375 (2022; Zbl 07495375) Full Text: DOI OpenURL
Hernandez, Valentin Families of coherent PEL automorphic forms. (English) Zbl 07493599 Doc. Math. 27, 213-294 (2022). MSC: 11G18 11F33 14K10 11F55 11G40 14L05 14G35 14G22 PDF BibTeX XML Cite \textit{V. Hernandez}, Doc. Math. 27, 213--294 (2022; Zbl 07493599) Full Text: DOI arXiv OpenURL
Michaud-Rodgers, Philippe Quadratic points on non-split Cartan modular curves. (English) Zbl 07488463 Int. J. Number Theory 18, No. 2, 245-267 (2022). MSC: 11G05 11G18 14G05 PDF BibTeX XML Cite \textit{P. Michaud-Rodgers}, Int. J. Number Theory 18, No. 2, 245--267 (2022; Zbl 07488463) Full Text: DOI arXiv OpenURL
Calegari, Frank; Chidambaram, Shiva Rationality of twists of the Siegel modular variety of genus \(2\) and level \(3\). (English) Zbl 07487889 Proc. Am. Math. Soc. 150, No. 5, 1975-1984 (2022). MSC: 11G18 14K10 11F80 14E08 PDF BibTeX XML Cite \textit{F. Calegari} and \textit{S. Chidambaram}, Proc. Am. Math. Soc. 150, No. 5, 1975--1984 (2022; Zbl 07487889) Full Text: DOI arXiv OpenURL
Fakhruddin, Najmuddin; Saini, Rijul Finite groups scheme actions and incompressibility of Galois covers: beyond the ordinary case. (English) Zbl 07487000 Doc. Math. 27, 151-182 (2022). MSC: 14L30 14L15 14G35 14K99 PDF BibTeX XML Cite \textit{N. Fakhruddin} and \textit{R. Saini}, Doc. Math. 27, 151--182 (2022; Zbl 07487000) Full Text: DOI arXiv OpenURL
Ye, Dongxi Difference of a hauptmodul for \(\Gamma_0 (N)\) and certain Gross-Zagier type CM value formulas. (English) Zbl 07484061 Sci. China, Math. 65, No. 2, 221-258 (2022). Reviewer: Noriko Yui (Kingston) MSC: 14G35 11F03 11F27 11F41 11G15 11G18 PDF BibTeX XML Cite \textit{D. Ye}, Sci. China, Math. 65, No. 2, 221--258 (2022; Zbl 07484061) Full Text: DOI arXiv OpenURL
Mihatsch, Andreas Relative unitary RZ-spaces and the arithmetic fundamental lemma. (English) Zbl 07463763 J. Inst. Math. Jussieu 21, No. 1, 241-301 (2022). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{A. Mihatsch}, J. Inst. Math. Jussieu 21, No. 1, 241--301 (2022; Zbl 07463763) Full Text: DOI arXiv OpenURL
Oki, Yasuhiro On supersingular loci of Shimura varieties for quaternionic unitary groups of degree 2. (English) Zbl 07457115 Manuscr. Math. 167, No. 1-2, 263-343 (2022). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{Y. Oki}, Manuscr. Math. 167, No. 1--2, 263--343 (2022; Zbl 07457115) Full Text: DOI arXiv OpenURL
Conti, Diego; Ghigi, Alessandro; Pignatelli, Roberto Some evidence for the Coleman-Oort conjecture. (English) Zbl 07454677 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 50, 19 p. (2022). MSC: 14G35 14J10 14Q05 20F99 PDF BibTeX XML Cite \textit{D. Conti} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 50, 19 p. (2022; Zbl 07454677) Full Text: DOI arXiv OpenURL
Pries, Rachel; Ulmer, Douglas Every \(BT_1\) group scheme appears in a Jacobian. (English) Zbl 07453351 Proc. Am. Math. Soc. 150, No. 2, 525-537 (2022). Reviewer: Noriko Yui (Kingston) MSC: 14H40 11G05 11D41 11G20 14F40 14K20 14L15 14K10 14K15 14L05 11G18 PDF BibTeX XML Cite \textit{R. Pries} and \textit{D. Ulmer}, Proc. Am. Math. Soc. 150, No. 2, 525--537 (2022; Zbl 07453351) Full Text: DOI arXiv OpenURL
Hattori, Shin On the compactification of the Drinfeld modular curve of level \(\Gamma_1^\Delta(\mathfrak{n})\). (English) Zbl 07437195 J. Number Theory 232, 75-100 (2022). MSC: 11G09 11F52 14L05 11G18 PDF BibTeX XML Cite \textit{S. Hattori}, J. Number Theory 232, 75--100 (2022; Zbl 07437195) Full Text: DOI OpenURL
Taylor, Noah On seven conjectures of Kedlaya and Medvedovsky. (English) Zbl 07419380 J. Number Theory 231, 333-348 (2022). MSC: 11F80 11G18 11F33 PDF BibTeX XML Cite \textit{N. Taylor}, J. Number Theory 231, 333--348 (2022; Zbl 07419380) Full Text: DOI arXiv OpenURL
Darmon, Henri; Vonk, Jan Arithmetic intersections of modular geodesics. (English) Zbl 07412716 J. Number Theory 230, 89-111 (2022). MSC: 14G35 11G18 PDF BibTeX XML Cite \textit{H. Darmon} and \textit{J. Vonk}, J. Number Theory 230, 89--111 (2022; Zbl 07412716) Full Text: DOI OpenURL
Ren, Yuan Quadratic torsion subgroups of modular Jacobian varieties. (English) Zbl 07513373 Isr. J. Math. 245, No. 2, 675-710 (2021). MSC: 11G18 14G35 11F33 PDF BibTeX XML Cite \textit{Y. Ren}, Isr. J. Math. 245, No. 2, 675--710 (2021; Zbl 07513373) Full Text: DOI OpenURL
Kriz, Daniel Supersingular \(p\)-adic \(L\)-functions, Maass-Shimura operators and Waldspurger formulas. (English) Zbl 07505016 Annals of Mathematics Studies 212. Princeton, NJ: Princeton University Press (ISBN 978-0-691-21647-8/hbk; 978-0-691-21646-1/pbk; 978-0-691-22573-9/ebook). 280 p. (2021). MSC: 11-01 11Fxx 11G18 11Mxx 14G35 PDF BibTeX XML Cite \textit{D. Kriz}, Supersingular \(p\)-adic \(L\)-functions, Maass-Shimura operators and Waldspurger formulas. Princeton, NJ: Princeton University Press (2021; Zbl 07505016) Full Text: DOI OpenURL
Frediani, Paola; Grosselli, Gian Paolo Shimura curves in the Prym loci of ramified double covers. (English) Zbl 07488250 Int. J. Math. 32, No. 14, Article ID 2150110, 23 p. (2021). MSC: 14H10 14H15 14H40 PDF BibTeX XML Cite \textit{P. Frediani} and \textit{G. P. Grosselli}, Int. J. Math. 32, No. 14, Article ID 2150110, 23 p. (2021; Zbl 07488250) Full Text: DOI arXiv OpenURL
Daw, Christopher; Orr, Martin Unlikely intersections with \(E \times \text{CM}\) curves in \(\mathcal{A}_2\). (English) Zbl 07481643 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1705-1745 (2021). MSC: 11G15 11G18 14G35 PDF BibTeX XML Cite \textit{C. Daw} and \textit{M. Orr}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1705--1745 (2021; Zbl 07481643) Full Text: DOI arXiv OpenURL
Frediani, Paola; Ghigi, Alessandro; Spelta, Irene Infinitely many Shimura varieties in the Jacobian locus for \(g \leq 4\). (English) Zbl 07481638 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1597-1619 (2021). MSC: 14G35 14H15 14H40 PDF BibTeX XML Cite \textit{P. Frediani} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1597--1619 (2021; Zbl 07481638) Full Text: DOI arXiv OpenURL
Kudla, Stephen S. Remarks on generating series for special cycles on orthogonal Shimura varieties. (English) Zbl 07480693 Algebra Number Theory 15, No. 10, 2403-2447 (2021). MSC: 14C25 11F27 11F46 14G35 PDF BibTeX XML Cite \textit{S. S. Kudla}, Algebra Number Theory 15, No. 10, 2403--2447 (2021; Zbl 07480693) Full Text: DOI arXiv OpenURL
Okumura, Yoshiaki Parametrization of virtually \(K\)-rational Drinfeld modules of rank two. (English) Zbl 07472547 Funct. Approximatio, Comment. Math. 65, No. 2, 157-174 (2021). MSC: 11G09 11G18 PDF BibTeX XML Cite \textit{Y. Okumura}, Funct. Approximatio, Comment. Math. 65, No. 2, 157--174 (2021; Zbl 07472547) Full Text: DOI arXiv OpenURL
Yu, Chia-Fu On reduction of moduli schemes of abelian varieties with definite quaternion multiplications. (Sur la réduction des schémas de modules de variétés abéliennes à multiplication quaternionique définie.) (English. French summary) Zbl 07468725 Ann. Inst. Fourier 71, No. 2, 539-613 (2021). MSC: 14G35 11G18 PDF BibTeX XML Cite \textit{C.-F. Yu}, Ann. Inst. Fourier 71, No. 2, 539--613 (2021; Zbl 07468725) Full Text: DOI arXiv OpenURL
Orr, Martin; Skorobogatov, Alexei N.; Zarhin, Yuri G. On uniformity conjectures for abelian varieties and K3 surfaces. (English) Zbl 07466614 Am. J. Math. 143, No. 6, 1665-1702 (2021). MSC: 14K15 14J28 11G18 14F22 11G10 14K05 PDF BibTeX XML Cite \textit{M. Orr} et al., Am. J. Math. 143, No. 6, 1665--1702 (2021; Zbl 07466614) Full Text: DOI arXiv OpenURL
Arasteh Rad, E.; Hartl, Urs Uniformizing the moduli stacks of global \(\mathfrak{G}\)-shtukas. (English) Zbl 07458110 Int. Math. Res. Not. 2021, No. 21, 16121-16192 (2021). MSC: 14G35 14D23 PDF BibTeX XML Cite \textit{E. Arasteh Rad} and \textit{U. Hartl}, Int. Math. Res. Not. 2021, No. 21, 16121--16192 (2021; Zbl 07458110) Full Text: DOI arXiv OpenURL
Harris, Michael Square root \(p\)-adic \(L\)-functions. I: Construction of a one-variable measure. (English) Zbl 07447169 Tunis. J. Math. 3, No. 4, 657-688 (2021). MSC: 11F85 11F67 11G18 11R23 22E47 PDF BibTeX XML Cite \textit{M. Harris}, Tunis. J. Math. 3, No. 4, 657--688 (2021; Zbl 07447169) Full Text: DOI arXiv OpenURL
Chen, Ke; Lu, Xin; Zuo, Kang On CM points away from the Torelli locus. (English) Zbl 1479.14032 J. Lond. Math. Soc., II. Ser. 104, No. 3, 1363-1383 (2021). Reviewer: Elira Curri (Vlorë) MSC: 14G35 14G40 14H42 PDF BibTeX XML Cite \textit{K. Chen} et al., J. Lond. Math. Soc., II. Ser. 104, No. 3, 1363--1383 (2021; Zbl 1479.14032) Full Text: DOI OpenURL
Balakrishnan, J. S.; Best, A. J.; Bianchi, F.; Lawrence, B.; Müller, J. S.; Triantafillou, N.; Vonk, J. Two recent \(p\)-adic approaches towards the (effective) Mordell conjecture. (English) Zbl 07446467 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). MSC: 11G18 11G50 11Y50 14G05 PDF BibTeX XML Cite \textit{J. S. Balakrishnan} et al., Prog. Math. 338, 31--74 (2021; Zbl 07446467) Full Text: DOI arXiv OpenURL
Shen, Xu; Yu, Chia-Fu; Zhang, Chao EKOR strata for Shimura varieties with parahoric level structure. (English) Zbl 1481.14049 Duke Math. J. 170, No. 14, 3111-3236 (2021). MSC: 14G35 11G18 PDF BibTeX XML Cite \textit{X. Shen} et al., Duke Math. J. 170, No. 14, 3111--3236 (2021; Zbl 1481.14049) Full Text: DOI arXiv OpenURL
Li, Chao; Liu, Yifeng Chow groups and \(L\)-derivatives of automorphic motives for unitary groups. (English) Zbl 07441737 Ann. Math. (2) 194, No. 3, 817-901 (2021). MSC: 11G18 11G40 11G50 14C15 PDF BibTeX XML Cite \textit{C. Li} and \textit{Y. Liu}, Ann. Math. (2) 194, No. 3, 817--901 (2021; Zbl 07441737) Full Text: DOI arXiv OpenURL
Farb, Benson; Kisin, Mark; Wolfson, Jesse The essential dimension of congruence covers. (English) Zbl 07437188 Compos. Math. 157, No. 11, 2407-2432 (2021). MSC: 14G35 11G18 PDF BibTeX XML Cite \textit{B. Farb} et al., Compos. Math. 157, No. 11, 2407--2432 (2021; Zbl 07437188) Full Text: DOI arXiv OpenURL
van Hoften, Pol A geometric Jacquet-Langlands correspondence for paramodular Siegel threefolds. (English) Zbl 07428888 Math. Z. 299, No. 3-4, 2029-2061 (2021). MSC: 11F46 11F33 11F80 11G18 PDF BibTeX XML Cite \textit{P. van Hoften}, Math. Z. 299, No. 3--4, 2029--2061 (2021; Zbl 07428888) Full Text: DOI arXiv OpenURL
Bars, Francesc; González, Josep; Xarles, Xavier Hyperelliptic parametrizations of \(\pmb{\mathbb{Q}}\)-curves. (English) Zbl 1480.11069 Ramanujan J. 56, No. 1, 103-120 (2021). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11F11 11G30 14H25 14G35 11G18 PDF BibTeX XML Cite \textit{F. Bars} et al., Ramanujan J. 56, No. 1, 103--120 (2021; Zbl 1480.11069) Full Text: DOI arXiv OpenURL
Matar, Ahmed; Nekovář, Jan Correction to: “Kolyvagin’s result on the vanishing of \(Ш(E/K)[p^\infty]\) and its consequences for anticyclotomic Iwasawa theory”. (English. French summary) Zbl 1473.11123 J. Théor. Nombres Bordx. 33, No. 2, 627-628 (2021). MSC: 11G05 11R23 11G18 11G40 14G10 14G35 PDF BibTeX XML Cite \textit{A. Matar} and \textit{J. Nekovář}, J. Théor. Nombres Bordx. 33, No. 2, 627--628 (2021; Zbl 1473.11123) Full Text: DOI OpenURL
Goren, Eyal Z.; Kassaei, Payman L. \(p\)-adic dynamics of Hecke operators on modular curves. (English) Zbl 1477.11081 J. Théor. Nombres Bordx. 33, No. 2, 387-431 (2021). MSC: 11F32 11G18 11G15 14G35 PDF BibTeX XML Cite \textit{E. Z. Goren} and \textit{P. L. Kassaei}, J. Théor. Nombres Bordx. 33, No. 2, 387--431 (2021; Zbl 1477.11081) Full Text: DOI arXiv OpenURL
Derickx, Maarten; Etropolski, Anastassia; van Hoeij, Mark; Morrow, Jackson S.; Zureick-Brown, David Sporadic cubic torsion. (English) Zbl 1479.14039 Algebra Number Theory 15, No. 7, 1837-1864 (2021). Reviewer: Jose Capco (Linz) MSC: 14H52 14Q05 11G18 11G05 11Y50 14H45 PDF BibTeX XML Cite \textit{M. Derickx} et al., Algebra Number Theory 15, No. 7, 1837--1864 (2021; Zbl 1479.14039) Full Text: DOI arXiv OpenURL
Liu, Shinan Local model of Hilbert-Siegel moduli schemes with \(\Gamma_1(p)\)-level structures. (Modèle local des schémas de Hilbert-Siegel de niveau \(\Gamma_1(p)\).) (French. English summary) Zbl 07419508 Algebra Number Theory 15, No. 7, 1655-1698 (2021). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{S. Liu}, Algebra Number Theory 15, No. 7, 1655--1698 (2021; Zbl 07419508) Full Text: DOI arXiv OpenURL
Eischen, Ellen; Flander, Max; Ghitza, Alexandru; Mantovan, Elena; McAndrew, Angus Differential operators mod \(p\): analytic continuation and consequences. (English) Zbl 07419501 Algebra Number Theory 15, No. 6, 1469-1504 (2021). MSC: 11G18 11F03 11F55 11F80 14G17 14G35 PDF BibTeX XML Cite \textit{E. Eischen} et al., Algebra Number Theory 15, No. 6, 1469--1504 (2021; Zbl 07419501) Full Text: DOI arXiv OpenURL
Zhang, Chao Some remarks on Ekedahl-Oort stratifications. (English) Zbl 1475.14050 Taiwanese J. Math. 25, No. 4, 665-679 (2021). MSC: 14G35 PDF BibTeX XML Cite \textit{C. Zhang}, Taiwanese J. Math. 25, No. 4, 665--679 (2021; Zbl 1475.14050) Full Text: DOI arXiv OpenURL
Rapinchuk, Andrei S.; Rapinchuk, Igor A. Finiteness theorems for algebraic tori over function fields. (English. French summary) Zbl 1473.14093 C. R., Math., Acad. Sci. Paris 359, No. 8, 939-944 (2021). MSC: 14L15 14G40 11E72 14E20 11G18 PDF BibTeX XML Cite \textit{A. S. Rapinchuk} and \textit{I. A. Rapinchuk}, C. R., Math., Acad. Sci. Paris 359, No. 8, 939--944 (2021; Zbl 1473.14093) Full Text: DOI OpenURL
Tamiozzo, Matteo On the Bloch-Kato conjecture for Hilbert modular forms. (English) Zbl 07402891 Math. Z. 299, No. 1-2, 427-458 (2021). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11G40 11F41 11F80 11R23 PDF BibTeX XML Cite \textit{M. Tamiozzo}, Math. Z. 299, No. 1--2, 427--458 (2021; Zbl 07402891) Full Text: DOI arXiv OpenURL
Bojakli, Mustafa; Sankari, Hasan Weierstrass points on bielliptic intermediate modular curves. (English) Zbl 1469.11191 Rocky Mt. J. Math. 51, No. 2, 439-446 (2021). MSC: 11G18 14H55 PDF BibTeX XML Cite \textit{M. Bojakli} and \textit{H. Sankari}, Rocky Mt. J. Math. 51, No. 2, 439--446 (2021; Zbl 1469.11191) Full Text: DOI OpenURL
Aslanyan, Vahagn Some remarks on atypical intersections. (English) Zbl 1480.11076 Proc. Am. Math. Soc. 149, No. 11, 4649-4660 (2021). MSC: 11G10 11G18 PDF BibTeX XML Cite \textit{V. Aslanyan}, Proc. Am. Math. Soc. 149, No. 11, 4649--4660 (2021; Zbl 1480.11076) Full Text: DOI arXiv OpenURL
Nikolaev, Igor V. Langlands reciprocity for \(C^\ast \)-algebras. (English) Zbl 1469.11147 Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 515-528 (2021). MSC: 11F70 46L85 11G18 PDF BibTeX XML Cite \textit{I. V. Nikolaev}, Oper. Theory: Adv. Appl. 282, 515--528 (2021; Zbl 1469.11147) Full Text: DOI arXiv OpenURL
Hatton, Richard Kolyvagin derivatives of modular points on elliptic curves. (English) Zbl 1480.11072 J. Number Theory 229, 405-431 (2021). MSC: 11G05 11G18 PDF BibTeX XML Cite \textit{R. Hatton}, J. Number Theory 229, 405--431 (2021; Zbl 1480.11072) Full Text: DOI arXiv OpenURL
Gabber, Ofer; Vasiu, Adrian Purity for Barsotti-Tate groups in some mixed characteristic situations. (English) Zbl 1479.14059 Algebr. Geom. 8, No. 4, 490-517 (2021). Reviewer: G. K. Sankaran (Bath) MSC: 14L05 11G10 11G18 14F30 14G35 14K10 14K99 14L15 PDF BibTeX XML Cite \textit{O. Gabber} and \textit{A. Vasiu}, Algebr. Geom. 8, No. 4, 490--517 (2021; Zbl 1479.14059) Full Text: DOI arXiv OpenURL
Roset, Marti; Rotger, Victor; Vatsal, Vinayak On the \(\mathcal{L}\)-invariant of the adjoint of a weight one modular form. (English) Zbl 07390636 J. Lond. Math. Soc., II. Ser. 104, No. 1, 206-232 (2021). MSC: 11F85 11F66 11G18 PDF BibTeX XML Cite \textit{M. Roset} et al., J. Lond. Math. Soc., II. Ser. 104, No. 1, 206--232 (2021; Zbl 07390636) Full Text: DOI arXiv OpenURL
Liu, Yifeng Mixed arithmetic theta lifting for unitary groups. (English) Zbl 07390075 Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 329-350 (2021). Reviewer: Lei Yang (Beijing) MSC: 11G18 11G40 14G40 PDF BibTeX XML Cite \textit{Y. Liu}, in: Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22--28, 2018. Cham: Springer. 329--350 (2021; Zbl 07390075) Full Text: DOI OpenURL
Harris, Michael Shimura varieties for unitary groups and the doubling method. (English) Zbl 1475.11125 Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 217-251 (2021). MSC: 11G18 11F70 22E50 11F66 PDF BibTeX XML Cite \textit{M. Harris}, in: Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22--28, 2018. Cham: Springer. 217--251 (2021; Zbl 1475.11125) Full Text: DOI OpenURL
Gross, Benedict H. Incoherent definite spaces and Shimura varieties. (English) Zbl 1475.11124 Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 187-215 (2021). MSC: 11G18 14G35 14G10 14G15 PDF BibTeX XML Cite \textit{B. H. Gross}, in: Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22--28, 2018. Cham: Springer. 187--215 (2021; Zbl 1475.11124) Full Text: DOI arXiv OpenURL
Richarz, Timo; Scholbach, Jakob The motivic Satake equivalence. (English) Zbl 07387658 Math. Ann. 380, No. 3-4, 1595-1653 (2021). MSC: 14L24 14G35 14M15 PDF BibTeX XML Cite \textit{T. Richarz} and \textit{J. Scholbach}, Math. Ann. 380, No. 3--4, 1595--1653 (2021; Zbl 07387658) Full Text: DOI arXiv OpenURL
Bruinier, Jan Hendrik; Ehlen, Stephan; Yang, Tonghai CM values of higher automorphic Green functions for orthogonal groups. (English) Zbl 07387421 Invent. Math. 225, No. 3, 693-785 (2021). MSC: 11G18 11G15 11F37 PDF BibTeX XML Cite \textit{J. H. Bruinier} et al., Invent. Math. 225, No. 3, 693--785 (2021; Zbl 07387421) Full Text: DOI arXiv OpenURL
Hahn, Marvin Anas; Li, Binglin Mustafin varieties, moduli spaces and tropical geometry. (English) Zbl 07387012 Manuscr. Math. 166, No. 1-2, 167-197 (2021). MSC: 14T05 14D06 14D20 20E42 20G25 52B99 14G35 PDF BibTeX XML Cite \textit{M. A. Hahn} and \textit{B. Li}, Manuscr. Math. 166, No. 1--2, 167--197 (2021; Zbl 07387012) Full Text: DOI arXiv OpenURL
Box, Josha Computing models for quotients of modular curves. (English) Zbl 1478.14046 Res. Number Theory 7, No. 3, Paper No. 51, 34 p. (2021). Reviewer: François Brunault (Lyon) MSC: 14G35 11G18 11F11 PDF BibTeX XML Cite \textit{J. Box}, Res. Number Theory 7, No. 3, Paper No. 51, 34 p. (2021; Zbl 1478.14046) Full Text: DOI arXiv OpenURL
van der Geer, Gerard; Looijenga, Eduard Lifting Chern classes by means of Ekedahl-Oort strata. (English) Zbl 1467.14066 Tunis. J. Math. 3, No. 3, 469-480 (2021). MSC: 14G35 11G18 PDF BibTeX XML Cite \textit{G. van der Geer} and \textit{E. Looijenga}, Tunis. J. Math. 3, No. 3, 469--480 (2021; Zbl 1467.14066) Full Text: DOI arXiv OpenURL
Bars, Francesc; González, Josep The automorphism group of the modular curve \(X_0^*(N)\) with square-free level. (English) Zbl 07377381 Trans. Am. Math. Soc. 374, No. 8, 5783-5803 (2021). MSC: 11F11 11G18 14H45 14H37 14H52 14K02 14H40 11G10 PDF BibTeX XML Cite \textit{F. Bars} and \textit{J. González}, Trans. Am. Math. Soc. 374, No. 8, 5783--5803 (2021; Zbl 07377381) Full Text: DOI arXiv OpenURL
Chinburg, T.; Guignard, Q.; Soulé, C. On the slopes of the lattice of sections of hermitian line bundles. (English) Zbl 07377288 J. Number Theory 228, 294-341 (2021). MSC: 14G40 14G35 11F11 PDF BibTeX XML Cite \textit{T. Chinburg} et al., J. Number Theory 228, 294--341 (2021; Zbl 07377288) Full Text: DOI arXiv OpenURL
Dotto, Andrea; Le, Daniel Diagrams in the mod \(p\) cohomology of Shimura curves. (English) Zbl 1480.11081 Compos. Math. 157, No. 8, 1653-1723 (2021). MSC: 11G18 14G35 11F80 11S37 22E50 PDF BibTeX XML Cite \textit{A. Dotto} and \textit{D. Le}, Compos. Math. 157, No. 8, 1653--1723 (2021; Zbl 1480.11081) Full Text: DOI arXiv OpenURL
Rodríguez Camargo, Juan Esteban An integral model of the perfectoid modular curve. (Un modèle entier de la courbe modulaire perfectoïde.) (English. French summary) Zbl 1478.14048 J. Éc. Polytech., Math. 8, 1193-1224 (2021). MSC: 14G45 14G35 14F17 14F20 14G20 PDF BibTeX XML Cite \textit{J. E. Rodríguez Camargo}, J. Éc. Polytech., Math. 8, 1193--1224 (2021; Zbl 1478.14048) Full Text: DOI arXiv OpenURL
Chen, Miaofen; Fargues, Laurent; Shen, Xu On the structure of some \(p\)-adic period domains. (English) Zbl 07374201 Camb. J. Math. 9, No. 1, 213-267 (2021). MSC: 11G18 14G20 PDF BibTeX XML Cite \textit{M. Chen} et al., Camb. J. Math. 9, No. 1, 213--267 (2021; Zbl 07374201) Full Text: DOI arXiv OpenURL
Liu, Yifeng [Li, Chao; Zhu, Yihang] Fourier-Jacobi cycles and arithmetic relative trace formula. (English) Zbl 1472.11194 Camb. J. Math. 9, No. 1, 1-147 (2021). MSC: 11G18 11G40 14G40 PDF BibTeX XML Cite \textit{Y. Liu}, Camb. J. Math. 9, No. 1, 1--147 (2021; Zbl 1472.11194) Full Text: DOI arXiv OpenURL
Vonk, Jan Overconvergent modular forms and their explicit arithmetic. (English) Zbl 1481.11052 Bull. Am. Math. Soc., New Ser. 58, No. 3, 313-356 (2021). Reviewer: Weibo Fu (Princeton) MSC: 11F33 11G18 11S40 PDF BibTeX XML Cite \textit{J. Vonk}, Bull. Am. Math. Soc., New Ser. 58, No. 3, 313--356 (2021; Zbl 1481.11052) Full Text: DOI OpenURL
Barrera, Daniel; Gao, Shan Overconvergent Eichler-Shimura isomorphisms for unitary Shimura curves over totally real fields. (English) Zbl 1475.11081 Isr. J. Math. 242, No. 2, 707-767 (2021). Reviewer: Riccardo Brasca (Paris) MSC: 11F33 11F85 11G18 14F30 PDF BibTeX XML Cite \textit{D. Barrera} and \textit{S. Gao}, Isr. J. Math. 242, No. 2, 707--767 (2021; Zbl 1475.11081) Full Text: DOI OpenURL
Kani, Ernst Subcovers of curves and moduli spaces. (English) Zbl 1464.14028 Comparin, Paola (ed.) et al., Geometry at the frontier. Symmetries and moduli spaces of algebraic varieties. 2016–2018 workshops, Universidad de la Frontera, Pucón, Chile, November 2016, November 2017, November 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 766, 229-250 (2021). MSC: 14H30 14H10 14G35 14H52 PDF BibTeX XML Cite \textit{E. Kani}, Contemp. Math. 766, 229--250 (2021; Zbl 1464.14028) Full Text: DOI OpenURL
Banerjee, Debargha; Saha, Arnab Differential modular forms over totally real fields of integral weights. (English) Zbl 1477.11086 Res. Number Theory 7, No. 3, Paper No. 42, 19 p. (2021). MSC: 11F41 11F32 13F35 14D15 14G35 PDF BibTeX XML Cite \textit{D. Banerjee} and \textit{A. Saha}, Res. Number Theory 7, No. 3, Paper No. 42, 19 p. (2021; Zbl 1477.11086) Full Text: DOI OpenURL
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława Integral \(p\)-adic étale cohomology of Drinfeld symmetric spaces. (English) Zbl 07369837 Duke Math. J. 170, No. 3, 575-613 (2021). MSC: 11G18 14F30 PDF BibTeX XML Cite \textit{P. Colmez} et al., Duke Math. J. 170, No. 3, 575--613 (2021; Zbl 07369837) Full Text: DOI arXiv OpenURL
Graham, Andrew; Gulotta, Daniel R.; Xu, Yujie Bounding Selmer groups for the Rankin-Selberg convolution of Coleman families. Justification of hypotheses. (English) Zbl 1477.11093 Can. J. Math. 73, No. 3, 805-853 (2021). MSC: 11F67 11F85 11G40 14G35 PDF BibTeX XML Cite \textit{A. Graham} et al., Can. J. Math. 73, No. 3, 805--853 (2021; Zbl 1477.11093) Full Text: DOI arXiv OpenURL
Sugiyama, Kennichi On the space of theta functions whose levels are square-free. (English) Zbl 1478.11055 Lith. Math. J. 61, No. 1, 69-86 (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11F11 11F12 11F27 11G20 11H56 14K25 14G35 PDF BibTeX XML Cite \textit{K. Sugiyama}, Lith. Math. J. 61, No. 1, 69--86 (2021; Zbl 1478.11055) Full Text: DOI OpenURL
Brasca, Riccardo; Rosso, Giovanni Hida theory over some unitary Shimura varieties without ordinary locus. (English) Zbl 1482.11086 Am. J. Math. 143, No. 3, 715-751 (2021). Reviewer: Salman Abdulali (Greenville) MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{R. Brasca} and \textit{G. Rosso}, Am. J. Math. 143, No. 3, 715--751 (2021; Zbl 1482.11086) Full Text: DOI arXiv OpenURL
Khayutin, Ilya Equidistribution on Kuga-Sato varieties of torsion points on CM elliptic curves. (English) Zbl 07367682 J. Eur. Math. Soc. (JEMS) 23, No. 9, 2949-3016 (2021). MSC: 11G18 37A17 PDF BibTeX XML Cite \textit{I. Khayutin}, J. Eur. Math. Soc. (JEMS) 23, No. 9, 2949--3016 (2021; Zbl 07367682) Full Text: DOI arXiv OpenURL
Dill, Gabriel A. Unlikely intersections between isogeny orbits and curves. (English) Zbl 07367662 J. Eur. Math. Soc. (JEMS) 23, No. 7, 2405-2438 (2021). MSC: 14G40 14K02 11G18 11G50 11U09 PDF BibTeX XML Cite \textit{G. A. Dill}, J. Eur. Math. Soc. (JEMS) 23, No. 7, 2405--2438 (2021; Zbl 07367662) Full Text: DOI arXiv OpenURL
Rivero, Óscar; Rotger, Victor Derived Beilinson-Flach elements and the arithmetic of the adjoint of a modular form. (English) Zbl 07367659 J. Eur. Math. Soc. (JEMS) 23, No. 7, 2299-2335 (2021). Reviewer: Nils Matthes (Oxford) MSC: 11F67 11F85 11G18 19F27 PDF BibTeX XML Cite \textit{Ó. Rivero} and \textit{V. Rotger}, J. Eur. Math. Soc. (JEMS) 23, No. 7, 2299--2335 (2021; Zbl 07367659) Full Text: DOI arXiv OpenURL
Karemaker, Valentijn; Yobuko, Fuetaro; Yu, Chia-Fu Mass formula and Oort’s conjecture for supersingular abelian threefolds. (English) Zbl 07367648 Adv. Math. 386, Article ID 107812, 52 p. (2021). MSC: 14G35 11G10 14K15 14K10 11G18 11E41 PDF BibTeX XML Cite \textit{V. Karemaker} et al., Adv. Math. 386, Article ID 107812, 52 p. (2021; Zbl 07367648) Full Text: DOI arXiv OpenURL
Brock, Bradley W.; Jordan, Bruce W.; Poonen, Bjorn; Scholl, Anthony J.; Wetherell, Joseph L. Linear independence in linear systems on elliptic curves. (English) Zbl 1479.14038 Comment. Math. Helv. 96, No. 2, 199-213 (2021). Reviewer: Andrea Bandini (Pisa) MSC: 14H52 11G05 14F30 11G40 11F11 14G35 PDF BibTeX XML Cite \textit{B. W. Brock} et al., Comment. Math. Helv. 96, No. 2, 199--213 (2021; Zbl 1479.14038) Full Text: DOI arXiv OpenURL
Baba, Srinath; Granath, Håkan Picard-Fuchs equations for Shimura curves over \(\mathbb{Q}\). (English) Zbl 1473.11126 Bull. Lond. Math. Soc. 53, No. 2, 408-415 (2021). MSC: 11G10 11G18 11F03 11J91 11G15 PDF BibTeX XML Cite \textit{S. Baba} and \textit{H. Granath}, Bull. Lond. Math. Soc. 53, No. 2, 408--415 (2021; Zbl 1473.11126) Full Text: DOI OpenURL
Dogra, Netan; Le Fourn, Samuel Quadratic Chabauty for modular curves and modular forms of rank one. (English) Zbl 1472.11191 Math. Ann. 380, No. 1-2, 393-448 (2021). Reviewer: Lei Yang (Beijing) MSC: 11G18 14G05 11G30 PDF BibTeX XML Cite \textit{N. Dogra} and \textit{S. Le Fourn}, Math. Ann. 380, No. 1--2, 393--448 (2021; Zbl 1472.11191) Full Text: DOI arXiv OpenURL
Wu, Ju-Feng A pairing on the cuspidal eigenvariety for \(\text{GSp}_{2g}\) and the ramification locus. (English) Zbl 1478.11071 Doc. Math. 26, 675-711 (2021). MSC: 11F46 11F67 11F85 11G18 PDF BibTeX XML Cite \textit{J.-F. Wu}, Doc. Math. 26, 675--711 (2021; Zbl 1478.11071) Full Text: DOI arXiv OpenURL
Mohajer, Abolfazl On Shimura subvarieties of the Prym locus. (English) Zbl 1462.14029 Commun. Algebra 49, No. 6, 2589-2596 (2021). MSC: 14G35 14H15 14H40 PDF BibTeX XML Cite \textit{A. Mohajer}, Commun. Algebra 49, No. 6, 2589--2596 (2021; Zbl 1462.14029) Full Text: DOI arXiv OpenURL
Rapoport, M.; Smithling, B.; Zhang, W. On Shimura varieties for unitary groups. (English) Zbl 1472.11195 Pure Appl. Math. Q. 17, No. 2, 773-837 (2021). Reviewer: Lei Yang (Beijing) MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{M. Rapoport} et al., Pure Appl. Math. Q. 17, No. 2, 773--837 (2021; Zbl 1472.11195) Full Text: DOI arXiv OpenURL
van der Geer, Gerard The ring of modular forms of degree two in characteristic three. (English) Zbl 07357479 Math. Z. 298, No. 1-2, 349-357 (2021). MSC: 11F46 14J15 14G35 11G18 PDF BibTeX XML Cite \textit{G. van der Geer}, Math. Z. 298, No. 1--2, 349--357 (2021; Zbl 07357479) Full Text: DOI arXiv OpenURL
Bruinier, Jan Hendrik; Yang, Tonghai Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series. (English) Zbl 1469.14059 J. Eur. Math. Soc. (JEMS) 23, No. 5, 1613-1674 (2021). Reviewer: Lei Yang (Beijing) MSC: 14G35 14G40 11G18 11F27 PDF BibTeX XML Cite \textit{J. H. Bruinier} and \textit{T. Yang}, J. Eur. Math. Soc. (JEMS) 23, No. 5, 1613--1674 (2021; Zbl 1469.14059) Full Text: DOI arXiv OpenURL
Orr, Martin Galois conjugates of special points and special subvarieties in Shimura varieties. (English) Zbl 07357062 J. Inst. Math. Jussieu 20, No. 3, 1075-1089 (2021). Reviewer: Lei Yang (Beijing) MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{M. Orr}, J. Inst. Math. Jussieu 20, No. 3, 1075--1089 (2021; Zbl 07357062) Full Text: DOI arXiv OpenURL
Guan, Chuangtian Full level structure on some group schemes. (English) Zbl 1475.14090 Res. Number Theory 7, No. 2, Paper No. 34, 11 p. (2021). MSC: 14L15 11G09 11G18 PDF BibTeX XML Cite \textit{C. Guan}, Res. Number Theory 7, No. 2, Paper No. 34, 11 p. (2021; Zbl 1475.14090) Full Text: DOI arXiv OpenURL
Zhang, Wei Weil representation and arithmetic fundamental lemma. (English) Zbl 07353244 Ann. Math. (2) 193, No. 3, 863-978 (2021). Reviewer: Zhengyu Mao (Newark) MSC: 11F27 11F67 11G40 14C25 14G35 PDF BibTeX XML Cite \textit{W. Zhang}, Ann. Math. (2) 193, No. 3, 863--978 (2021; Zbl 07353244) Full Text: DOI arXiv OpenURL
Manning, Jeffrey Patching and multiplicity \(2^k\) for Shimura curves. (English) Zbl 1479.11088 Algebra Number Theory 15, No. 2, 387-434 (2021). MSC: 11F80 11G18 PDF BibTeX XML Cite \textit{J. Manning}, Algebra Number Theory 15, No. 2, 387--434 (2021; Zbl 1479.11088) Full Text: DOI arXiv OpenURL
Le Fourn, Samuel; Lemos, Pedro Residual Galois representations of elliptic curves with image contained in the normaliser of a nonsplit Cartan. (English) Zbl 1479.11097 Algebra Number Theory 15, No. 3, 747-771 (2021). MSC: 11G05 11F80 11G18 PDF BibTeX XML Cite \textit{S. Le Fourn} and \textit{P. Lemos}, Algebra Number Theory 15, No. 3, 747--771 (2021; Zbl 1479.11097) Full Text: DOI arXiv OpenURL
Bajolet, Aurélien; Bilu, Yuri; Matschke, Benjamin Computing integral points on \(X_{\mathrm{ns}}^+(p)\). (English) Zbl 1479.11004 Algebra Number Theory 15, No. 3, 569-608 (2021). MSC: 11-04 11G18 11G16 11Y40 14G05 PDF BibTeX XML Cite \textit{A. Bajolet} et al., Algebra Number Theory 15, No. 3, 569--608 (2021; Zbl 1479.11004) Full Text: DOI arXiv OpenURL
Kühne, Lars Intersection of class fields. (English) Zbl 07349951 Acta Arith. 198, No. 2, 109-127 (2021). MSC: 11G18 11R37 11G05 14G35 PDF BibTeX XML Cite \textit{L. Kühne}, Acta Arith. 198, No. 2, 109--127 (2021; Zbl 07349951) Full Text: DOI arXiv OpenURL
Imai, Naoki; Koskivirta, Jean-Stefan Automorphic vector bundles on the stack of \(G\)-zips. (English) Zbl 07348109 Forum Math. Sigma 9, Paper No. e37, 31 p. (2021). MSC: 14G35 20G40 PDF BibTeX XML Cite \textit{N. Imai} and \textit{J.-S. Koskivirta}, Forum Math. Sigma 9, Paper No. e37, 31 p. (2021; Zbl 07348109) Full Text: DOI arXiv OpenURL
Wu, Zhiyou The plectic weight filtration on cohomology of Shimura varieties and partial Frobenius. (English) Zbl 1474.14042 Forum Math. Sigma 9, Paper No. e30, 88 p. (2021). MSC: 14G35 11F41 11G18 16W10 PDF BibTeX XML Cite \textit{Z. Wu}, Forum Math. Sigma 9, Paper No. e30, 88 p. (2021; Zbl 1474.14042) Full Text: DOI arXiv OpenURL
Ito, Kazuhiro; Ito, Tetsushi; Koshikawa, Teruhisa CM liftings of \(K3\) surfaces over finite fields and their applications to the Tate conjecture. (English) Zbl 1477.14042 Forum Math. Sigma 9, Paper No. e29, 70 p. (2021). Reviewer: Jiaming Chen (Frankfurt am Main) MSC: 14G35 11G18 11G15 14J28 PDF BibTeX XML Cite \textit{K. Ito} et al., Forum Math. Sigma 9, Paper No. e29, 70 p. (2021; Zbl 1477.14042) Full Text: DOI arXiv OpenURL
Ichino, Atsushi; Prasanna, Kartik Periods of quaternionic Shimura varieties. I. (English) Zbl 1479.11001 Contemporary Mathematics 762. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4894-3/pbk; 978-1-4704-6418-9/ebook). vi, 214 p. (2021). Reviewer: Lei Yang (Beijing) MSC: 11-02 11F27 11F41 11G18 PDF BibTeX XML Cite \textit{A. Ichino} and \textit{K. Prasanna}, Periods of quaternionic Shimura varieties. I. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1479.11001) Full Text: DOI arXiv OpenURL