Edixhoven, Bas; Parent, Pierre Semistable reduction of modular curves associated with maximal subgroups in prime level. (English) Zbl 07331486 Doc. Math. 26, 231-269 (2021). MSC: 11G18 11G20 14G35 PDF BibTeX XML Cite \textit{B. Edixhoven} and \textit{P. Parent}, Doc. Math. 26, 231--269 (2021; Zbl 07331486) Full Text: DOI
Mukamel, Ronen Eliahu Polynomials defining Teichmüller curves and their factorizations mod \(p\). (English) Zbl 07331270 Exp. Math. 30, No. 1, 19-31 (2021). MSC: 14H10 11G18 30F99 PDF BibTeX XML Cite \textit{R. E. Mukamel}, Exp. Math. 30, No. 1, 19--31 (2021; Zbl 07331270) Full Text: DOI
Du, Tuoping Weak Siegel-Weil formula for \(\mathbb{M}_2(\mathbb{Q})\) and arithmetic on quaternions. (English) Zbl 07331125 Trans. Am. Math. Soc. 374, No. 5, 3397-3426 (2021). MSC: 11R52 11G18 11F32 11F41 11S23 PDF BibTeX XML Cite \textit{T. Du}, Trans. Am. Math. Soc. 374, No. 5, 3397--3426 (2021; Zbl 07331125) Full Text: DOI
Liu, Zheng Ordinary families of Klingen Eisenstein series on symplectic groups. (English) Zbl 07331124 Trans. Am. Math. Soc. 374, No. 5, 3331-3395 (2021). MSC: 11F33 11F30 11F46 11G18 PDF BibTeX XML Cite \textit{Z. Liu}, Trans. Am. Math. Soc. 374, No. 5, 3331--3395 (2021; Zbl 07331124) Full Text: DOI
Molina, Santiago Finite slope triple product \(p\)-adic \(L\)-functions over totally real number fields. (English) Zbl 07329232 J. Number Theory 223, 267-306 (2021). MSC: 11F85 11G40 11F67 11G18 11F33 PDF BibTeX XML Cite \textit{S. Molina}, J. Number Theory 223, 267--306 (2021; Zbl 07329232) Full Text: DOI
Orr, Martin Unlikely intersections with Hecke translates of a special subvariety. (English) Zbl 07328106 J. Eur. Math. Soc. (JEMS) 23, No. 1, 1-28 (2021). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{M. Orr}, J. Eur. Math. Soc. (JEMS) 23, No. 1, 1--28 (2021; Zbl 07328106) Full Text: DOI
Wang, Shan Wen Le système d’Euler de Kato en famillie (II). (English) Zbl 07314983 Acta Math. Sin., Engl. Ser. 37, No. 1, 173-204 (2021). MSC: 11F85 11F67 11G40 11R33 11S80 14G10 14G35 PDF BibTeX XML Cite \textit{S. W. Wang}, Acta Math. Sin., Engl. Ser. 37, No. 1, 173--204 (2021; Zbl 07314983) Full Text: DOI
Darmon, Henri; Pozzi, Alice; Vonk, Jan Diagonal restrictions of \(p\)-adic Eisenstein families. (English) Zbl 07307517 Math. Ann. 379, No. 1-2, 503-548 (2021). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{H. Darmon} et al., Math. Ann. 379, No. 1--2, 503--548 (2021; Zbl 07307517) Full Text: DOI
Manning, Jeffrey; Shotton, Jack Ihara’s lemma for Shimura curves over totally real fields via patching. (English) Zbl 07307508 Math. Ann. 379, No. 1-2, 187-234 (2021). MSC: 11F80 11F33 11G18 PDF BibTeX XML Cite \textit{J. Manning} and \textit{J. Shotton}, Math. Ann. 379, No. 1--2, 187--234 (2021; Zbl 07307508) Full Text: DOI
Haines, Thomas J.; Richarz, Timo The test function conjecture for parahoric local models. (English) Zbl 07304879 J. Am. Math. Soc. 34, No. 1, 135-218 (2021). MSC: 14G35 14M15 20G05 PDF BibTeX XML Cite \textit{T. J. Haines} and \textit{T. Richarz}, J. Am. Math. Soc. 34, No. 1, 135--218 (2021; Zbl 07304879) Full Text: DOI
Cai, Yulin Integral points on the modular curves \(X_0(p)\). (English) Zbl 07300431 J. Number Theory 221, 211-221 (2021). MSC: 11G18 11G50 14K15 PDF BibTeX XML Cite \textit{Y. Cai}, J. Number Theory 221, 211--221 (2021; Zbl 07300431) Full Text: DOI
Murakami, Yuya Corrigendum to: “Intersection numbers of modular correspondences for genus zero modular curves”. (English) Zbl 07276970 J. Number Theory 219, 460-465 (2021). MSC: 11F32 14C17 11F46 14G35 11E12 PDF BibTeX XML Cite \textit{Y. Murakami}, J. Number Theory 219, 460--465 (2021; Zbl 07276970) Full Text: DOI
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
Häberli, Simon Satake compactification of analytic Drinfeld modular varieties. (English) Zbl 07276951 J. Number Theory 219, 1-92 (2021). MSC: 11G09 11G18 14M27 11F52 PDF BibTeX XML Cite \textit{S. Häberli}, J. Number Theory 219, 1--92 (2021; Zbl 07276951) 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). Reviewer: Rubén A. Hidalgo (Temuco) MSC: 11G05 14G05 11G18 PDF BibTeX XML Cite \textit{J. Box}, Math. Comput. 90, No. 327, 321--343 (2021; Zbl 07268661) Full Text: DOI
Smithling, Brian An arithmetic intersection conjecture. (English) Zbl 07325797 Cheng, Shiu Yuen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press (ISBN 978-1-57146-392-0/pbk). 539-559 (2020). MSC: 14G35 11F67 14G40 14-02 PDF BibTeX XML Cite \textit{B. Smithling}, in: Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 539--559 (2020; Zbl 07325797)
Bilu, Yuri; Habegger, Philipp; Kühne, Lars No singular modulus is a unit. (English) Zbl 07323438 Int. Math. Res. Not. 2020, No. 24, 10005-10041 (2020). MSC: 11G18 11G15 11G50 14G05 PDF BibTeX XML Cite \textit{Y. Bilu} et al., Int. Math. Res. Not. 2020, No. 24, 10005--10041 (2020; Zbl 07323438) Full Text: DOI
Bilu, Yuri; Kühne, Lars Linear equations in singular moduli. (English) Zbl 07319825 Int. Math. Res. Not. 2020, No. 21, 7617-7643 (2020). MSC: 11G18 11G15 11G50 11R37 14G35 PDF BibTeX XML Cite \textit{Y. Bilu} and \textit{L. Kühne}, Int. Math. Res. Not. 2020, No. 21, 7617--7643 (2020; Zbl 07319825) Full Text: DOI
Vonk, Jan Crystalline cohomology of towers of curves. (English) Zbl 07319822 Int. Math. Res. Not. 2020, No. 21, 7454-7488 (2020). MSC: 14F30 14F40 11G18 PDF BibTeX XML Cite \textit{J. Vonk}, Int. Math. Res. Not. 2020, No. 21, 7454--7488 (2020; Zbl 07319822) Full Text: DOI
Wu, Chenyan Virtual abelian varieties of \(\mathrm{GL}_2\)-type. (English) Zbl 07317400 Math. Res. Lett. 27, No. 3, 903-944 (2020). MSC: 11G10 11G18 14G05 PDF BibTeX XML Cite \textit{C. Wu}, Math. Res. Lett. 27, No. 3, 903--944 (2020; Zbl 07317400) Full Text: DOI
Bruinier, Jan H.; Howard, Benjamin; Kudla, Stephen S.; Pera, Keerthi Madapusi; Rapoport, Michael; Yang, Tonghai Arithmetic divisors on orthogonal and unitary Shimura varieties. (English) Zbl 07316298 Astérisque 421. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-927-2/pbk). 297 p. (2020). MSC: 11-02 14-02 11G18 14G35 14G40 11F55 11F27 PDF BibTeX XML Cite \textit{J. H. Bruinier} et al., Arithmetic divisors on orthogonal and unitary Shimura varieties. Paris: Société Mathématique de France (SMF) (2020; Zbl 07316298) 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). Reviewer: Edoardo Ballico (Povo) 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
Gao, Ziyang Mixed Ax-Schanuel for the universal abelian varieties and some applications. (English) Zbl 07305885 Compos. Math. 156, No. 11, 2263-2297 (2020). MSC: 11G10 11G18 14G35 PDF BibTeX XML Cite \textit{Z. Gao}, Compos. Math. 156, No. 11, 2263--2297 (2020; Zbl 07305885) Full Text: DOI
Shiga, Hironori An explicit Shimura canonical model for the quaternion algebra of discriminant 6. (English) Zbl 1454.11116 RIMS Kôkyûroku Bessatsu B77, 127-140 (2020). MSC: 11G18 11G15 14G35 14K22 14K25 33C05 PDF BibTeX XML Cite \textit{H. Shiga}, RIMS Kôkyûroku Bessatsu B77, 127--140 (2020; Zbl 1454.11116) Full Text: Link
Mieda, Yoichi Arthur’s classification and its applications. (Japanese. English summary) Zbl 1453.11067 RIMS Kôkyûroku Bessatsu B77, 75-126 (2020). MSC: 11F70 11F72 11F80 11G18 14G35 22E50 22E55 11-02 PDF BibTeX XML Cite \textit{Y. Mieda}, RIMS Kôkyûroku Bessatsu B77, 75--126 (2020; Zbl 1453.11067) Full Text: Link
Rosu, Eugenia; Yott, Dylan Generating series of a new class of orthogonal Shimura varieties. (English) Zbl 07299333 Algebra Number Theory 14, No. 10, 2743-2772 (2020). MSC: 11G18 19E15 PDF BibTeX XML Cite \textit{E. Rosu} and \textit{D. Yott}, Algebra Number Theory 14, No. 10, 2743--2772 (2020; Zbl 07299333) Full Text: DOI
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
Levin, Brandon; Wang-Erickson, Carl A Harder-Narasimhan theory for Kisin modules. (English) Zbl 07297281 Algebr. Geom. 7, No. 6, 645-695 (2020). MSC: 11S20 14L24 14G35 PDF BibTeX XML Cite \textit{B. Levin} and \textit{C. Wang-Erickson}, Algebr. Geom. 7, No. 6, 645--695 (2020; Zbl 07297281) Full Text: DOI
Haines, Thomas J.; Richarz, Timo Smoothness of Schubert varieties in twisted affine Grassmannians. (English) Zbl 07292329 Duke Math. J. 169, No. 17, 3223-3260 (2020). MSC: 14M15 14G35 PDF BibTeX XML Cite \textit{T. J. Haines} and \textit{T. Richarz}, Duke Math. J. 169, No. 17, 3223--3260 (2020; Zbl 07292329) Full Text: DOI Euclid
Zhou, Rong Mod \(p\) isogeny classes on Shimura varieties with parahoric level structure. (English) Zbl 07292322 Duke Math. J. 169, No. 15, 2937-3031 (2020). MSC: 11A99 14G35 PDF BibTeX XML Cite \textit{R. Zhou}, Duke Math. J. 169, No. 15, 2937--3031 (2020; Zbl 07292322) Full Text: DOI Euclid
He, Xuhua; Zhou, Rong On the connected components of affine Deligne-Lusztig varieties. (English) Zbl 07292317 Duke Math. J. 169, No. 14, 2697-2765 (2020). MSC: 14G35 20G25 PDF BibTeX XML Cite \textit{X. He} and \textit{R. Zhou}, Duke Math. J. 169, No. 14, 2697--2765 (2020; Zbl 07292317) Full Text: DOI Euclid
Grobner, Harald; Sachdeva, Gunja Relations of rationality for special values of Rankin-Selberg \(L\)-functions of \(\operatorname{GL}_n \times \operatorname{GL}_m\) over CM-fields. (English) Zbl 07291153 Pac. J. Math. 308, No. 2, 281-305 (2020). MSC: 11F67 11F70 11G18 11R39 22E55 PDF BibTeX XML Cite \textit{H. Grobner} and \textit{G. Sachdeva}, Pac. J. Math. 308, No. 2, 281--305 (2020; Zbl 07291153) Full Text: DOI
Grossi, Giada On norm relations for Asai-Flach classes. (English) Zbl 07285862 Int. J. Number Theory 16, No. 10, 2311-2377 (2020). MSC: 11F41 11F70 11F80 14G35 PDF BibTeX XML Cite \textit{G. Grossi}, Int. J. Number Theory 16, No. 10, 2311--2377 (2020; Zbl 07285862) Full Text: DOI
Fowler, Guy Triples of singular moduli with rational product. (English) Zbl 07285855 Int. J. Number Theory 16, No. 10, 2149-2166 (2020). MSC: 11G15 11G18 14G35 PDF BibTeX XML Cite \textit{G. Fowler}, Int. J. Number Theory 16, No. 10, 2149--2166 (2020; Zbl 07285855) Full Text: DOI
Ivanov, Alexander B.; Weinstein, Jared The smooth locus in infinite-level Rapoport-Zink spaces. (English) Zbl 07283071 Compos. Math. 156, No. 9, 1846-1872 (2020). MSC: 14G22 14G45 14G35 14G20 14L05 PDF BibTeX XML Cite \textit{A. B. Ivanov} and \textit{J. Weinstein}, Compos. Math. 156, No. 9, 1846--1872 (2020; Zbl 07283071) Full Text: DOI
Hedayatzadeh, Hadi S. Mohammad A Cartesian diagram of Rapoport-Zink towers over universal covers of \(p\)-divisible groups. (English) Zbl 07282690 Commun. Number Theory Phys. 14, No. 4, 699-737 (2020). MSC: 11G18 11S31 11G25 PDF BibTeX XML Cite \textit{H. S. M. Hedayatzadeh}, Commun. Number Theory Phys. 14, No. 4, 699--737 (2020; Zbl 07282690) Full Text: DOI
Buium, Alexandru; Miller, Lance Edward Solutions to arithmetic differential equations in algebraically closed fields. (English) Zbl 07281387 Adv. Math. 375, Article ID 107342, 47 p. (2020). MSC: 11F32 11F85 11G18 PDF BibTeX XML Cite \textit{A. Buium} and \textit{L. E. Miller}, Adv. Math. 375, Article ID 107342, 47 p. (2020; Zbl 07281387) Full Text: DOI
Koshikawa, Teruhisa Vanishing theorems for the mod \(p\) cohomology of some simple Shimura varieties. (English) Zbl 07276274 Forum Math. Sigma 8, Paper No. e38, 9 p. (2020). Reviewer: Lei Yang (Beijing) MSC: 11G18 11F33 11F80 PDF BibTeX XML Cite \textit{T. Koshikawa}, Forum Math. Sigma 8, Paper No. e38, 9 p. (2020; Zbl 07276274) Full Text: DOI
Takamatsu, Teppei On a cohomological generalization of the Shafarevich conjecture for \(K3\) surfaces. (English) Zbl 07275234 Algebra Number Theory 14, No. 9, 2505-2531 (2020). MSC: 14J28 11F80 11G18 11G25 11G35 PDF BibTeX XML Cite \textit{T. Takamatsu}, Algebra Number Theory 14, No. 9, 2505--2531 (2020; Zbl 07275234) Full Text: DOI
Li, Yingkun; Yang, Tonghai On a conjecture of Yui and Zagier. (English) Zbl 07275226 Algebra Number Theory 14, No. 8, 2197-2238 (2020). MSC: 11G18 11F03 11F27 PDF BibTeX XML Cite \textit{Y. Li} and \textit{T. Yang}, Algebra Number Theory 14, No. 8, 2197--2238 (2020; Zbl 07275226) 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
Howard, Benjamin On the averaged Colmez conjecture. (English) Zbl 07272475 Jerison, David (ed.) et al., Current developments in mathematics 2018. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, 2018. Somerville, MA: International Press (ISBN 978-1-57146-387-6/pbk). 125-178 (2020). MSC: 11G18 14G40 14G35 PDF BibTeX XML Cite \textit{B. Howard}, in: Current developments in mathematics 2018. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, 2018. Somerville, MA: International Press. 125--178 (2020; Zbl 07272475) Full Text: DOI
Rapoport, M.; Smithling, B.; Zhang, W. Arithmetic diagonal cycles on unitary Shimura varieties. (English) Zbl 07270080 Compos. Math. 156, No. 9, 1745-1824 (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 14G35 11F67 14G40 PDF BibTeX XML Cite \textit{M. Rapoport} et al., Compos. Math. 156, No. 9, 1745--1824 (2020; Zbl 07270080) Full Text: DOI
Binyamini, Gal; Kowalski, Emmanuel Some effective estimates for André-Oort in \(Y(1)^n\). (English) Zbl 07268721 J. Reine Angew. Math. 767, 17-35 (2020). MSC: 11G18 11G50 14G05 PDF BibTeX XML Cite \textit{G. Binyamini} and \textit{E. Kowalski}, J. Reine Angew. Math. 767, 17--35 (2020; Zbl 07268721) Full Text: DOI
Bajpai, Jitendra; Moya Giusti, Matias V. Ghost classes in \({\mathbb{Q}} \)-rank two orthogonal Shimura varieties. (English) Zbl 1451.14080 Math. Z. 296, No. 3-4, 1209-1233 (2020). Reviewer: Jiaming Chen (Vandœuvre-lès-Nancy) MSC: 14G35 14D07 14M27 PDF BibTeX XML Cite \textit{J. Bajpai} and \textit{M. V. Moya Giusti}, Math. Z. 296, No. 3--4, 1209--1233 (2020; Zbl 1451.14080) Full Text: DOI
Achter, Jeffrey D. Arithmetic occult period maps. (English) Zbl 1454.14099 Algebr. Geom. 7, No. 5, 581-606 (2020). MSC: 14J10 11G18 14G35 14J28 14D05 PDF BibTeX XML Cite \textit{J. D. Achter}, Algebr. Geom. 7, No. 5, 581--606 (2020; Zbl 1454.14099) 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
Shen, Xu On some generalized Rapoport-Zink spaces. (English) Zbl 07250092 Can. J. Math. 72, No. 5, 1111-1187 (2020). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{X. Shen}, Can. J. Math. 72, No. 5, 1111--1187 (2020; Zbl 07250092) Full Text: DOI
Cauchi, Antonio; Rodrigues Jacinto, Joaquín Norm-compatible systems of Galois cohomology classes for \(\mathbf{GSp}_6\). (English) Zbl 07249995 Doc. Math. 25, 911-954 (2020). MSC: 11G18 11F46 11G40 PDF BibTeX XML Cite \textit{A. Cauchi} and \textit{J. Rodrigues Jacinto}, Doc. Math. 25, 911--954 (2020; Zbl 07249995) Full Text: DOI
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
Hamacher, Paul; Viehmann, Eva Finiteness properties of affine Deligne-Lusztig varieties. (English) Zbl 1455.14053 Doc. Math. 25, 899-910 (2020). MSC: 14G35 20G25 14M15 14L05 20E42 11G18 PDF BibTeX XML Cite \textit{P. Hamacher} and \textit{E. Viehmann}, Doc. Math. 25, 899--910 (2020; Zbl 1455.14053) Full Text: DOI
Davidescu, Cosmin; Scholl, Anthony J. Extensions in the cohomology of Hilbert modular varieties. (English) Zbl 07243788 Münster J. Math. 13, No. 2, 509-518 (2020). MSC: 11G18 PDF BibTeX XML Cite \textit{C. Davidescu} and \textit{A. J. Scholl}, Münster J. Math. 13, No. 2, 509--518 (2020; Zbl 07243788) Full Text: DOI
Farb, Benson; Looijenga, Eduard Geometry of the Wiman-Edge pencil and the Wiman curve. (English) Zbl 1455.14052 Geom. Dedicata 208, 197-220 (2020). MSC: 14G35 11G18 14H37 PDF BibTeX XML Cite \textit{B. Farb} and \textit{E. Looijenga}, Geom. Dedicata 208, 197--220 (2020; Zbl 1455.14052) Full Text: DOI
Hartl, Urs; Kim, Wansu Local shtukas, Hodge-Pink structures and Galois representations. (English) Zbl 1440.14113 Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 183-259 (2020). MSC: 14F30 14C30 11F70 14G20 14G35 11G09 PDF BibTeX XML Cite \textit{U. Hartl} and \textit{W. Kim}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 183--259 (2020; Zbl 1440.14113) Full Text: DOI
Xue, Cong Finiteness of cohomology groups of stacks of shtukas as modules over Hecke algebras, and applications. (English) Zbl 1455.14054 Épijournal de Géom. Algébr., EPIGA 4, Article No. 6, 42 p. (2020). MSC: 14G35 11F70 PDF BibTeX XML Cite \textit{C. Xue}, Épijournal de Géom. Algébr., EPIGA 4, Article No. 6, 42 p. (2020; Zbl 1455.14054) Full Text: arXiv
Wang, Liuquan; Yang, Yifan Modular units and cuspidal divisor classes on \(X_0(n^2M)\) with \(n|24\) and \(M\) squarefree. (English) Zbl 07242357 J. Algebra 562, 410-432 (2020). MSC: 11G16 11F03 11G18 14G05 PDF BibTeX XML Cite \textit{L. Wang} and \textit{Y. Yang}, J. Algebra 562, 410--432 (2020; Zbl 07242357) Full Text: DOI
Ma, Shouhei Rational equivalence of cusps. (English) Zbl 1440.14026 Ann. \(K\)-Theory 5, No. 3, 395-410 (2020). MSC: 14C15 14G35 11F55 11F46 PDF BibTeX XML Cite \textit{S. Ma}, Ann. \(K\)-Theory 5, No. 3, 395--410 (2020; Zbl 1440.14026) Full Text: DOI
Haines, Thomas J.; Richarz, Timo The test function conjecture for local models of Weil-restricted groups. (English) Zbl 07236813 Compos. Math. 156, No. 7, 1348-1404 (2020). MSC: 14G35 11G18 14G10 PDF BibTeX XML Cite \textit{T. J. Haines} and \textit{T. Richarz}, Compos. Math. 156, No. 7, 1348--1404 (2020; Zbl 07236813) Full Text: DOI
Boumasmoud, Réda; Brooks, Ernest Hunter; Jetchev, Dimitar P. Vertical distribution relations for special cycles on unitary Shimura varieties. (English) Zbl 1452.11070 Int. Math. Res. Not. 2020, No. 13, 3902-3926 (2020). Reviewer: Lei Yang (Beijing) MSC: 11G18 PDF BibTeX XML Cite \textit{R. Boumasmoud} et al., Int. Math. Res. Not. 2020, No. 13, 3902--3926 (2020; Zbl 1452.11070) Full Text: DOI
Torzewski, Alex Functoriality of motivic lifts of the canonical construction. (English) Zbl 1454.14012 Manuscr. Math. 163, No. 1-2, 27-56 (2020). MSC: 14C15 14C25 14G35 14D07 PDF BibTeX XML Cite \textit{A. Torzewski}, Manuscr. Math. 163, No. 1--2, 27--56 (2020; Zbl 1454.14012) Full Text: DOI
Cho, Sungmun; Yamauchi, Takuya A reformulation of the Siegel series and intersection numbers. (English) Zbl 1454.11081 Math. Ann. 377, No. 3-4, 1757-1826 (2020). Reviewer: Emmanuel Royer (Aubière) MSC: 11F30 11F46 11G18 14C17 14G35 14J15 PDF BibTeX XML Cite \textit{S. Cho} and \textit{T. Yamauchi}, Math. Ann. 377, No. 3--4, 1757--1826 (2020; Zbl 1454.11081) Full Text: DOI
Dill, Gabriel A. Unlikely intersections with isogeny orbits in a product of elliptic schemes. (English) Zbl 07229164 Math. Ann. 377, No. 3-4, 1509-1545 (2020). MSC: 14G40 14K02 11G18 11G50 PDF BibTeX XML Cite \textit{G. A. Dill}, Math. Ann. 377, No. 3--4, 1509--1545 (2020; Zbl 07229164) Full Text: DOI
Milio, Enea; Robert, Damien Modular polynomials on Hilbert surfaces. (English) Zbl 07226996 J. Number Theory 216, 403-459 (2020). MSC: 11F41 11G18 11Y40 14G35 PDF BibTeX XML Cite \textit{E. Milio} and \textit{D. Robert}, J. Number Theory 216, 403--459 (2020; Zbl 07226996) 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
Guitart, Xavier; Masdeu, Marc; Molina, Santiago An automorphic approach to Darmon points. (English) Zbl 07226665 Indiana Univ. Math. J. 69, No. 4, 1251-1274 (2020). MSC: 11G18 11F75 PDF BibTeX XML Cite \textit{X. Guitart} et al., Indiana Univ. Math. J. 69, No. 4, 1251--1274 (2020; Zbl 07226665) Full Text: DOI
Pilloni, V. Higher coherent cohomology and \(p\)-adic modular forms of singular weights. (English) Zbl 07226649 Duke Math. J. 169, No. 9, 1647-1807 (2020). MSC: 11F33 11G18 PDF BibTeX XML Cite \textit{V. Pilloni}, Duke Math. J. 169, No. 9, 1647--1807 (2020; Zbl 07226649) Full Text: DOI Euclid
Howard, Benjamin On the Ekedahl-Oort stratification of Shimura curves. (English) Zbl 07224497 Algebra Number Theory 14, No. 4, 961-990 (2020). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{B. Howard}, Algebra Number Theory 14, No. 4, 961--990 (2020; Zbl 07224497) 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
Johansson, Christian; Thorne, Jack A. On subquotients of the étale cohomology of Shimura varieties. (English) Zbl 07219418 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press (ISBN 978-1-108-70486-1/pbk; 978-1-108-64971-1/ebook). London Mathematical Society Lecture Note Series 457, 306-333 (2020). MSC: 11G18 11S 14G35 14F20 PDF BibTeX XML Cite \textit{C. Johansson} and \textit{J. A. Thorne}, Lond. Math. Soc. Lect. Note Ser. 457, 306--333 (2020; Zbl 07219418)
Chenevier, Gaëtan An application of Hecke varieties from unitary groups. (Une application des variétés de Hecke des groupes unitaires.) (French) Zbl 07219416 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press (ISBN 978-1-108-70486-1/pbk; 978-1-108-64971-1/ebook). London Mathematical Society Lecture Note Series 457, 266-296 (2020). MSC: 11F 20C 11G18 PDF BibTeX XML Cite \textit{G. Chenevier}, Lond. Math. Soc. Lect. Note Ser. 457, 266--296 (2020; Zbl 07219416)
Scholze, Peter The local Langlands correspondence for GL\(_n\) over \(p\)-adic fields, and the cohomology of compact unitary Shimura varieties. (English) Zbl 1440.11218 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 457, 251-265 (2020). MSC: 11S37 11G18 PDF BibTeX XML Cite \textit{P. Scholze}, Lond. Math. Soc. Lect. Note Ser. 457, 251--265 (2020; Zbl 1440.11218)
Viehmann, Eva On the geometry of the Newton stratification. (English) Zbl 1440.14140 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 457, 192-208 (2020). MSC: 14G35 14M25 PDF BibTeX XML Cite \textit{E. Viehmann}, Lond. Math. Soc. Lect. Note Ser. 457, 192--208 (2020; Zbl 1440.14140)
Mantovan, Elena The Newton stratification. (English) Zbl 1440.14115 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 457, 166-191 (2020). MSC: 14F30 14M25 14G35 PDF BibTeX XML Cite \textit{E. Mantovan}, Lond. Math. Soc. Lect. Note Ser. 457, 166--191 (2020; Zbl 1440.14115)
Kisin, Mark Integral canonical models of Shimura varieties: an update. (English) Zbl 1440.14136 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 457, 151-165 (2020). MSC: 14G35 14-02 PDF BibTeX XML Cite \textit{M. Kisin}, Lond. Math. Soc. Lect. Note Ser. 457, 151--165 (2020; Zbl 1440.14136)
Zhu, Yihang Introduction to the Langlands-Kottwitz method. (English) Zbl 1440.14141 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 457, 115-150 (2020). MSC: 14G35 11G18 14-01 11-01 PDF BibTeX XML Cite \textit{Y. Zhu}, Lond. Math. Soc. Lect. Note Ser. 457, 115--150 (2020; Zbl 1440.14141)
Rozensztajn, Sandra Integral models of Shimura varieties of PEL type. (English) Zbl 1440.14139 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 457, 96-114 (2020). MSC: 14G35 11G18 PDF BibTeX XML Cite \textit{S. Rozensztajn}, Lond. Math. Soc. Lect. Note Ser. 457, 96--114 (2020; Zbl 1440.14139)
Nicole, Marc-Hubert Unitary Shimura varieties. (English) Zbl 1440.14138 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 457, 72-95 (2020). MSC: 14G35 11G18 14-01 11-01 PDF BibTeX XML Cite \textit{M.-H. Nicole}, Lond. Math. Soc. Lect. Note Ser. 457, 72--95 (2020; Zbl 1440.14138) Full Text: Link
Genestier, A.; Ngô, B. C. Lectures on Shimura varieties. (English) Zbl 1440.11001 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 457, 22-71 (2020). MSC: 11-02 14-02 11G18 14G35 PDF BibTeX XML Cite \textit{A. Genestier} and \textit{B. C. Ngô}, Lond. Math. Soc. Lect. Note Ser. 457, 22--71 (2020; Zbl 1440.11001)
Haines, T. J.; Harris, M. Introduction to Volume II. (English) Zbl 1436.11004 Haines, Thomas (ed.) et al., Shimura varieties. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 457, 1-21 (2020). MSC: 11-03 01A61 11G18 14G35 PDF BibTeX XML Cite \textit{T. J. Haines} and \textit{M. Harris}, Lond. Math. Soc. Lect. Note Ser. 457, 1--21 (2020; Zbl 1436.11004)
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
Liu, Zheng \(p\)-adic \(L\)-functions for ordinary families on symplectic groups. (English) Zbl 07219260 J. Inst. Math. Jussieu 19, No. 4, 1287-1347 (2020). MSC: 11F33 11F46 11F67 11F60 11F30 11G18 PDF BibTeX XML Cite \textit{Z. Liu}, J. Inst. Math. Jussieu 19, No. 4, 1287--1347 (2020; Zbl 07219260) Full Text: DOI
Yamazaki, Takao; Yang, Yifan Maximal abelian extension of \(X_0(p)\) unramified outside cusps. (English) Zbl 07211739 Manuscr. Math. 162, No. 3-4, 441-455 (2020). MSC: 11G18 11F03 11G45 14G35 PDF BibTeX XML Cite \textit{T. Yamazaki} and \textit{Y. Yang}, Manuscr. Math. 162, No. 3--4, 441--455 (2020; Zbl 07211739) 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
Eischen, Ellen; Harris, Michael; Li, Jianshu; Skinner, Christopher \(p\)-adic \(L\)-functions for unitary groups. (English) Zbl 07209559 Forum Math. Pi 8, Paper No. e9, 160 p. (2020). MSC: 11F85 11F66 14G10 11F55 11R23 14G35 11G10 11F03 PDF BibTeX XML Cite \textit{E. Eischen} et al., Forum Math. Pi 8, Paper No. e9, 160 p. (2020; Zbl 07209559) Full Text: DOI
Bertrand, Daniel; Edixhoven, Bas Pink’s conjecture on unlikely intersections and families of semi-abelian varieties. (Sur la conjecture de Pink sur les intersections exceptionnelles et les familles de variétés semi-abéliennes.) (English. French summary) Zbl 07206871 J. Éc. Polytech., Math. 7, 711-742 (2020). MSC: 14K05 14G35 11G15 14K30 PDF BibTeX XML Cite \textit{D. Bertrand} and \textit{B. Edixhoven}, J. Éc. Polytech., Math. 7, 711--742 (2020; Zbl 07206871) Full Text: DOI
Caraiani, Ana; Gulotta, Daniel R.; Hsu, Chi-Yun; Johansson, Christian; Mocz, Lucia; Reinecke, Emanuel; Shih, Sheng-Chi Shimura varieties at level \(\Gamma_1(p^{\infty})\) and Galois representations. (English) Zbl 1452.11063 Compos. Math. 156, No. 6, 1152-1230 (2020). Reviewer: Lei Yang (Beijing) MSC: 11F75 11F80 11G18 14G22 PDF BibTeX XML Cite \textit{A. Caraiani} et al., Compos. Math. 156, No. 6, 1152--1230 (2020; Zbl 1452.11063) 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
Hedayatzadeh, S. Mohammad Hadi Tensor constructions on \(z\)-divisible local Anderson modules. (English) Zbl 07202822 J. Number Theory 213, 116-151 (2020). MSC: 11G09 14G35 PDF BibTeX XML Cite \textit{S. M. H. Hedayatzadeh}, J. Number Theory 213, 116--151 (2020; Zbl 07202822) Full Text: DOI
Cadoret, Anna; Moonen, Ben Integral and adelic aspects of the Mumford-Tate conjecture. (English) Zbl 1451.11051 J. Inst. Math. Jussieu 19, No. 3, 869-890 (2020). Reviewer: Lei Yang (Beijing) MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{A. Cadoret} and \textit{B. Moonen}, J. Inst. Math. Jussieu 19, No. 3, 869--890 (2020; Zbl 1451.11051) Full Text: DOI
Boyer, Pascal Mirabolic subgroup, refined Newton stratification and cohomology of Lubin-Tate spaces. (Groupe mirabolique, stratification de Newton raffinée et cohomologie des espaces de Lubin-Tate.) (French. English summary) Zbl 07202204 Bull. Soc. Math. Fr. 148, No. 1, 1-23 (2020). MSC: 11F70 11F80 11F85 11G18 20C08 PDF BibTeX XML Cite \textit{P. Boyer}, Bull. Soc. Math. Fr. 148, No. 1, 1--23 (2020; Zbl 07202204) Full Text: DOI
Quinn, Joseph; Verjovsky, Alberto Cusp shapes of Hilbert-Blumenthal surfaces. (English) Zbl 1447.14003 Geom. Dedicata 206, 27-42 (2020). MSC: 14G35 PDF BibTeX XML Cite \textit{J. Quinn} and \textit{A. Verjovsky}, Geom. Dedicata 206, 27--42 (2020; Zbl 1447.14003) Full Text: DOI
Fargues, Laurent Simple connectedness of fibers of an Abel-Jacobi mapping and local class fields. (Simple connexité des fibres d’une application d’Abel-Jacobi et corps de classes local.) (French) Zbl 07201737 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 1, 89-124 (2020). MSC: 11G18 14G20 PDF BibTeX XML Cite \textit{L. Fargues}, Ann. Sci. Éc. Norm. Supér. (4) 53, No. 1, 89--124 (2020; Zbl 07201737) 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
Ohta, Masami \( \mu \)-type subgroups of \(J_1(N)\) and application to cyclotomic fields. (English) Zbl 07196907 J. Math. Soc. Japan 72, No. 2, 333-412 (2020). MSC: 11G18 14G05 11R23 PDF BibTeX XML Cite \textit{M. Ohta}, J. Math. Soc. Japan 72, No. 2, 333--412 (2020; Zbl 07196907) Full Text: DOI Euclid
Mieda, Yoichi On irreducible components of Rapoport-Zink spaces. (English) Zbl 07195659 Int. Math. Res. Not. 2020, No. 8, 2361-2407 (2020). MSC: 14G22 14L05 14G35 14G20 22E50 PDF BibTeX XML Cite \textit{Y. Mieda}, Int. Math. Res. Not. 2020, No. 8, 2361--2407 (2020; Zbl 07195659) Full Text: DOI
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
Feng, Tony Nearby cycles of parahoric shtukas, and a fundamental lemma for base change. (English) Zbl 07186762 Sel. Math., New Ser. 26, No. 2, Paper No. 21, 59 p. (2020). MSC: 11F70 11G18 11S37 22E50 PDF BibTeX XML Cite \textit{T. Feng}, Sel. Math., New Ser. 26, No. 2, Paper No. 21, 59 p. (2020; Zbl 07186762) Full Text: DOI
Wang, Haining On the Bruhat-Tits stratification of a quaternionic unitary Rapoport-Zink space. (English) Zbl 1454.11117 Math. Ann. 376, No. 3-4, 1107-1144 (2020). Reviewer: Lei Yang (Beijing) MSC: 11G18 20G25 PDF BibTeX XML Cite \textit{H. Wang}, Math. Ann. 376, No. 3--4, 1107--1144 (2020; Zbl 1454.11117) Full Text: DOI
He, Xuhua; Pappas, Georgios; Rapoport, Michael Good and semi-stable reductions of Shimura varieties. (Bonne réduction et réduction semi-stable de variétés de Shimura.) (English. French summary) Zbl 07183615 J. Éc. Polytech., Math. 7, 497-571 (2020). MSC: 11G18 14G35 PDF BibTeX XML Cite \textit{X. He} et al., J. Éc. Polytech., Math. 7, 497--571 (2020; Zbl 07183615) Full Text: DOI