Li, Wen-Ching Winnie; Long, Ling; Tu, Fang-Ting A whipple \(_7F_6\) formula revisited. (English) Zbl 07552243 Matematica 1, No. 2, 480-530 (2022). MSC: 11F11 33C20 11F80 11F67 11T24 PDF BibTeX XML Cite \textit{W.-C. W. Li} et al., Matematica 1, No. 2, 480--530 (2022; Zbl 07552243) Full Text: DOI OpenURL
Seo, Soogil On universal norm elements and a problem of Coleman. (English) Zbl 07551763 Mosc. Math. J. 22, No. 1, 121-132 (2022). MSC: 11R23 11R37 11R18 11R34 11R27 11S25 PDF BibTeX XML Cite \textit{S. Seo}, Mosc. Math. J. 22, No. 1, 121--132 (2022; Zbl 07551763) Full Text: Link OpenURL
Lim, Meng Fai On the cohomology of Kobayashi’s plus/minus norm groups and applications. (English) Zbl 07541502 Math. Proc. Camb. Philos. Soc. 173, No. 1, 1-24 (2022). MSC: 11R23 11G05 11S25 PDF BibTeX XML Cite \textit{M. F. Lim}, Math. Proc. Camb. Philos. Soc. 173, No. 1, 1--24 (2022; Zbl 07541502) Full Text: DOI OpenURL
Besser, Amnon \(p\)-adic heights and Vologodsky integration. (English) Zbl 07538066 J. Number Theory 239, 273-297 (2022). MSC: 11S80 11G20 14G40 14G22 14F40 11S25 PDF BibTeX XML Cite \textit{A. Besser}, J. Number Theory 239, 273--297 (2022; Zbl 07538066) Full Text: DOI OpenURL
Fresán, Javier; Sabbah, Claude; Yu, Jeng-Daw Hodge theory of Kloosterman connections. (English) Zbl 07536938 Duke Math. J. 171, No. 8, 1649-1747 (2022). MSC: 11G40 11F80 11L05 14F40 32S35 32S40 PDF BibTeX XML Cite \textit{J. Fresán} et al., Duke Math. J. 171, No. 8, 1649--1747 (2022; Zbl 07536938) Full Text: DOI Link OpenURL
Quadrelli, Claudio Galois-theoretic features for 1-smooth pro-\(p\) groups. (English) Zbl 07532820 Can. Math. Bull. 65, No. 2, 525-541 (2022). MSC: 12G05 20E18 20J06 12F10 PDF BibTeX XML Cite \textit{C. Quadrelli}, Can. Math. Bull. 65, No. 2, 525--541 (2022; Zbl 07532820) Full Text: DOI OpenURL
Chattopadhyay, Jaitra; Saikia, Anupam Totally real bi-quadratic fields with large Pólya groups. (English) Zbl 07525948 Res. Number Theory 8, No. 2, Paper No. 30, 6 p. (2022). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R29 11R34 13F20 PDF BibTeX XML Cite \textit{J. Chattopadhyay} and \textit{A. Saikia}, Res. Number Theory 8, No. 2, Paper No. 30, 6 p. (2022; Zbl 07525948) Full Text: DOI OpenURL
Gillard, Pierre-Alexandre Real torus actions on real affine algebraic varieties. (English) Zbl 07525046 Math. Z. 301, No. 2, 1507-1536 (2022). MSC: 14R20 14L30 20G20 11E72 14P99 PDF BibTeX XML Cite \textit{P.-A. Gillard}, Math. Z. 301, No. 2, 1507--1536 (2022; Zbl 07525046) Full Text: DOI OpenURL
Lourdeaux, Alexandre Degree 2 cohomological invariants of linear algebraic groups. (English) Zbl 07524224 J. Pure Appl. Algebra 226, No. 10, Article ID 107059, 22 p. (2022). MSC: 14F20 14F22 20G10 20G15 PDF BibTeX XML Cite \textit{A. Lourdeaux}, J. Pure Appl. Algebra 226, No. 10, Article ID 107059, 22 p. (2022; Zbl 07524224) Full Text: DOI OpenURL
Gehrmann, Lennart; Rosso, Giovanni Big principal series, \(p\)-adic families and \(\mathcal{L}\)-invariants. (English) Zbl 07522566 Compos. Math. 158, No. 2, 409-436 (2022). MSC: 11F55 11F33 11F70 11F75 11F80 PDF BibTeX XML Cite \textit{L. Gehrmann} and \textit{G. Rosso}, Compos. Math. 158, No. 2, 409--436 (2022; Zbl 07522566) Full Text: DOI OpenURL
Borovoi, Mikhail; de Graaf, Willem A.; Lê, Hông Vân Classification of real trivectors in dimension nine. (English) Zbl 07518363 J. Algebra 603, 118-163 (2022). Reviewer: Julio Benítez Lopez (Valencia) MSC: 15A21 11E72 20G05 20G20 PDF BibTeX XML Cite \textit{M. Borovoi} et al., J. Algebra 603, 118--163 (2022; Zbl 07518363) Full Text: DOI OpenURL
Bac, Dao Phuong; Hien, Vu Tuan On the topology of geometric and rational orbits for algebraic group actions over valued fields. II. (English) Zbl 1485.14092 Commun. Algebra 50, No. 2, 812-821 (2022). MSC: 14L30 14L24 20G15 20G10 11E72 PDF BibTeX XML Cite \textit{D. P. Bac} and \textit{V. T. Hien}, Commun. Algebra 50, No. 2, 812--821 (2022; Zbl 1485.14092) Full Text: DOI OpenURL
Brussel, Eric Hasse invariant for the tame Brauer group of a higher local field. (English) Zbl 07512760 Trans. Am. Math. Soc., Ser. B 9, 258-287 (2022). MSC: 11R52 11S45 12G05 16K50 PDF BibTeX XML Cite \textit{E. Brussel}, Trans. Am. Math. Soc., Ser. B 9, 258--287 (2022; Zbl 07512760) Full Text: DOI OpenURL
Izquierdo, Diego; Arteche, Giancarlo Lucchini Homogeneous spaces, algebraic \(K\)-theory and cohomological dimension of fields. (English) Zbl 07509415 J. Eur. Math. Soc. (JEMS) 24, No. 6, 2169-2189 (2022). MSC: 12G10 19D45 11E72 14M17 PDF BibTeX XML Cite \textit{D. Izquierdo} and \textit{G. L. Arteche}, J. Eur. Math. Soc. (JEMS) 24, No. 6, 2169--2189 (2022; Zbl 07509415) Full Text: DOI OpenURL
Illusie, Luc Generic constructibility and uniformity in \(\ell\). (Constructibilité générique et uniformité en \(\ell\).) (French. English summary) Zbl 07505870 Tunis. J. Math. 4, No. 1, 159-181 (2022). MSC: 11F80 14F08 14F20 14F30 14G25 PDF BibTeX XML Cite \textit{L. Illusie}, Tunis. J. Math. 4, No. 1, 159--181 (2022; Zbl 07505870) Full Text: DOI OpenURL
Quadrelli, Claudio; Weigel, Thomas S. Oriented pro-\(\ell\) groups with the Bogomolov-Positselski property. (English) Zbl 07504605 Res. Number Theory 8, No. 2, Paper No. 21, 22 p. (2022). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12G05 12F10 20E18 20J06 PDF BibTeX XML Cite \textit{C. Quadrelli} and \textit{T. S. Weigel}, Res. Number Theory 8, No. 2, Paper No. 21, 22 p. (2022; Zbl 07504605) Full Text: DOI OpenURL
Chen, Miaofen; Nie, Sian Connectedness of Kisin varieties associated to absolutely irreducible Galois representations. (English) Zbl 1483.11107 J. Reine Angew. Math. 785, 31-54 (2022). MSC: 11F80 11R39 14L15 14F30 PDF BibTeX XML Cite \textit{M. Chen} and \textit{S. Nie}, J. Reine Angew. Math. 785, 31--54 (2022; Zbl 1483.11107) Full Text: DOI OpenURL
Yu, Yih-Jeng Retraction note to: “A note on number knots and the splitting of the Hilbert class field”. (English) Zbl 1483.11249 Taiwanese J. Math. 26, No. 2, 443 (2022). MSC: 11R32 11R34 11R37 12F10 PDF BibTeX XML Cite \textit{Y.-J. Yu}, Taiwanese J. Math. 26, No. 2, 443 (2022; Zbl 1483.11249) Full Text: DOI OpenURL
Koymans, Peter; Pagano, Carlo On the distribution of \(\mathrm{Cl}(K)[l^\infty]\) for degree \(l\) cyclic fields. (English) Zbl 07499450 J. Eur. Math. Soc. (JEMS) 24, No. 4, 1189-1283 (2022). MSC: 11N45 11R29 11R34 11R37 11R45 PDF BibTeX XML Cite \textit{P. Koymans} and \textit{C. Pagano}, J. Eur. Math. Soc. (JEMS) 24, No. 4, 1189--1283 (2022; Zbl 07499450) Full Text: DOI OpenURL
Bleher, Frauke M.; Chinburg, Ted; Greenberg, Ralph; Kakde, Mahesh; Sharifi, Romyar; Taylor, Martin J. Exterior powers in Iwasawa theory. (English) Zbl 07499445 J. Eur. Math. Soc. (JEMS) 24, No. 3, 967-1005 (2022). MSC: 11R23 11R34 PDF BibTeX XML Cite \textit{F. M. Bleher} et al., J. Eur. Math. Soc. (JEMS) 24, No. 3, 967--1005 (2022; Zbl 07499445) Full Text: DOI OpenURL
Loeffler, David; Skinner, Christopher; Zerbes, Sarah Livia Euler systems for \(\mathrm{GSp}(4)\). (English) Zbl 07499439 J. Eur. Math. Soc. (JEMS) 24, No. 2, 669-733 (2022). MSC: 11F46 11F67 11F80 11R23 PDF BibTeX XML Cite \textit{D. Loeffler} et al., J. Eur. Math. Soc. (JEMS) 24, No. 2, 669--733 (2022; Zbl 07499439) 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). Reviewer: Matteo Longo (Padova) 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
Bergdall, John; Levin, Brandon Reductions of some two-dimensional crystalline representations via Kisin modules. (English) Zbl 07487084 Int. Math. Res. Not. 2022, No. 4, 3170-3197 (2022). MSC: 11F80 11F85 14F30 PDF BibTeX XML Cite \textit{J. Bergdall} and \textit{B. Levin}, Int. Math. Res. Not. 2022, No. 4, 3170--3197 (2022; Zbl 07487084) Full Text: DOI arXiv OpenURL
Chipchakov, Ivan D. Fields of dimension one algebraic over a global or local field need not be of type \(C_1\). (English) Zbl 07485558 J. Number Theory 235, 484-501 (2022). Reviewer: Mouad Moutaoukil (Fès) MSC: 11E76 11R34 12J10 11D72 11S15 PDF BibTeX XML Cite \textit{I. D. Chipchakov}, J. Number Theory 235, 484--501 (2022; Zbl 07485558) Full Text: DOI arXiv OpenURL
Le, Daniel; Morra, Stefano; Schraen, Benjamin Multiplicity one at full congruence level. (English) Zbl 07482204 J. Inst. Math. Jussieu 21, No. 2, 637-658 (2022). MSC: 11F33 11F80 20C33 PDF BibTeX XML Cite \textit{D. Le} et al., J. Inst. Math. Jussieu 21, No. 2, 637--658 (2022; Zbl 07482204) Full Text: DOI arXiv OpenURL
Gee, Toby; Newton, James Patching and the completed homology of locally symmetric spaces. (English) Zbl 07482199 J. Inst. Math. Jussieu 21, No. 2, 395-458 (2022). MSC: 11F75 11F80 PDF BibTeX XML Cite \textit{T. Gee} and \textit{J. Newton}, J. Inst. Math. Jussieu 21, No. 2, 395--458 (2022; Zbl 07482199) Full Text: DOI arXiv OpenURL
Lee, T.-Y. The Tate-Shafarevich groups of multinorm-one tori. (English) Zbl 07481842 J. Pure Appl. Algebra 226, No. 7, Article ID 106906, 25 p. (2022). MSC: 11G35 11R34 12G05 14G12 14G25 PDF BibTeX XML Cite \textit{T. Y. Lee}, J. Pure Appl. Algebra 226, No. 7, Article ID 106906, 25 p. (2022; Zbl 07481842) Full Text: DOI arXiv OpenURL
Sakamoto, Ryotaro On the theory of Kolyvagin systems of rank 0. (English. French summary) Zbl 07469026 J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1077-1102 (2022). MSC: 11F80 11R34 11R23 PDF BibTeX XML Cite \textit{R. Sakamoto}, J. Théor. Nombres Bordx. 33, No. 3, Part 2, 1077--1102 (2022; Zbl 07469026) Full Text: DOI OpenURL
Greither, Cornelius; Popescu, Cristian Picard 1-motives and Tate sequences for function fields. (English. French summary) Zbl 07469017 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 835-852 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11M38 11G20 11G25 11G45 14F30 PDF BibTeX XML Cite \textit{C. Greither} and \textit{C. Popescu}, J. Théor. Nombres Bordx. 33, No. 3, Part 1, 835--852 (2022; Zbl 07469017) Full Text: DOI OpenURL
Ray, Anwesh Deformations of reducible Galois representations to ZHida-families. (English) Zbl 07468301 Int. J. Number Theory 18, No. 1, 89-112 (2022). MSC: 11F80 11R32 11R34 PDF BibTeX XML Cite \textit{A. Ray}, Int. J. Number Theory 18, No. 1, 89--112 (2022; Zbl 07468301) Full Text: DOI arXiv OpenURL
Borovoi, Mikhail; Gornitskii, Andrei A.; Rosengarten, Zev Galois cohomology of real quasi-connected reductive groups. (English) Zbl 07466648 Arch. Math. 118, No. 1, 27-38 (2022). Reviewer: Stefan Gille (Edmonton) MSC: 11E72 20G07 20G15 20G20 PDF BibTeX XML Cite \textit{M. Borovoi} et al., Arch. Math. 118, No. 1, 27--38 (2022; Zbl 07466648) Full Text: DOI arXiv OpenURL
Gille, Stefan On Brauer invariants of finite groups. (English) Zbl 07463788 Math. Z. 300, No. 1, 217-234 (2022). MSC: 11E72 16K50 PDF BibTeX XML Cite \textit{S. Gille}, Math. Z. 300, No. 1, 217--234 (2022; Zbl 07463788) Full Text: DOI OpenURL
Sivatski, A. S. Biquaternion division algebras and fourth power-central elements. (English) Zbl 1485.11076 J. Pure Appl. Algebra 226, No. 5, Article ID 106947, 8 p. (2022). Reviewer: Adam Chapman (Tel Hai) MSC: 11E04 11E81 12G05 16K50 PDF BibTeX XML Cite \textit{A. S. Sivatski}, J. Pure Appl. Algebra 226, No. 5, Article ID 106947, 8 p. (2022; Zbl 1485.11076) Full Text: DOI OpenURL
Serban, Vlad A finiteness result for \(p\)-adic families of Bianchi modular forms. (English) Zbl 07452405 J. Number Theory 233, 405-431 (2022). MSC: 11F41 11F33 11F75 11F80 PDF BibTeX XML Cite \textit{V. Serban}, J. Number Theory 233, 405--431 (2022; Zbl 07452405) Full Text: DOI arXiv OpenURL
Rapinchuk, Andrei S.; Rapinchuk, Igor A. Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields. (English) Zbl 07452398 J. Number Theory 233, 228-260 (2022). MSC: 11E72 14F20 14L15 11R34 14G40 20G15 PDF BibTeX XML Cite \textit{A. S. Rapinchuk} and \textit{I. A. Rapinchuk}, J. Number Theory 233, 228--260 (2022; Zbl 07452398) Full Text: DOI arXiv OpenURL
Greither, Cornelius; Kataoka, Takenori; Kurihara, Masato Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields. (English) Zbl 07451866 Sel. Math., New Ser. 28, No. 1, Paper No. 14, 48 p. (2022). Reviewer: Henri Johnston (Exeter) MSC: 11R23 11R33 11R34 11R42 PDF BibTeX XML Cite \textit{C. Greither} et al., Sel. Math., New Ser. 28, No. 1, Paper No. 14, 48 p. (2022; Zbl 07451866) Full Text: DOI arXiv OpenURL
Brinon, Olivier On the injectivity of Frobenius on \(p\)-adic period rings. (English) Zbl 1474.14033 Proc. Am. Math. Soc. 150, No. 1, 75-78 (2022). MSC: 14F30 14G20 11F80 13A35 PDF BibTeX XML Cite \textit{O. Brinon}, Proc. Am. Math. Soc. 150, No. 1, 75--78 (2022; Zbl 1474.14033) Full Text: DOI OpenURL
Merkurjev, Alexander; Wertheim, Alexander Invariants of algebraic tori of degree and weight 2. (English) Zbl 1469.11060 J. Pure Appl. Algebra 226, No. 2, Article ID 106833, 11 p. (2022). MSC: 11E72 14M17 19C30 PDF BibTeX XML Cite \textit{A. Merkurjev} and \textit{A. Wertheim}, J. Pure Appl. Algebra 226, No. 2, Article ID 106833, 11 p. (2022; Zbl 1469.11060) Full Text: DOI OpenURL
Harbater, David Adelic double cosets over semi-global fields. (English) Zbl 07551376 Albanian J. Math. 15, No. 2, 99-115 (2021). MSC: 11E72 12G05 14G05 14H25 20G15 14G27 PDF BibTeX XML Cite \textit{D. Harbater}, Albanian J. Math. 15, No. 2, 99--115 (2021; Zbl 07551376) Full Text: Link OpenURL
Sechin, Pavel; Semenov, Nikita Applications of the Morava \(K\)-theory to algebraic groups. (English. French summary) Zbl 07548720 Ann. Sci. Éc. Norm. Supér. (4) 54, No. 4, 945-990 (2021). MSC: 20G15 11E72 19E15 PDF BibTeX XML Cite \textit{P. Sechin} and \textit{N. Semenov}, Ann. Sci. Éc. Norm. Supér. (4) 54, No. 4, 945--990 (2021; Zbl 07548720) Full Text: DOI OpenURL
Ali, Aslam Computations in Galois cohomology. (English) Zbl 1483.12001 Mathematik. München: Dr. Hut; Kaiserslautern: TU Kaiserslautern (Diss.) (ISBN 978-3-8439-4890-6/pbk). 153 p. (2021). MSC: 12-02 12-08 12G05 PDF BibTeX XML Cite \textit{A. Ali}, Computations in Galois cohomology. München: Dr. Hut; Kaiserslautern: TU Kaiserslautern (Diss.) (2021; Zbl 1483.12001) OpenURL
Lim, Meng Fai On the weak Leopoldt conjecture and coranks of Selmer groups of supersingular abelian varieties in \(p\)-adic Lie extensions. (English) Zbl 1483.11115 Tokyo J. Math. 44, No. 2, 477-494 (2021). MSC: 11G05 11R23 11S25 PDF BibTeX XML Cite \textit{M. F. Lim}, Tokyo J. Math. 44, No. 2, 477--494 (2021; Zbl 1483.11115) Full Text: DOI OpenURL
Alberts, Brandon Statistics of the first Galois cohomology group: a refinement of Malle’s conjecture. (English) Zbl 07480696 Algebra Number Theory 15, No. 10, 2513-2569 (2021). Reviewer: Pierre Guillot (Strasbourg) MSC: 11R21 11R32 11R34 PDF BibTeX XML Cite \textit{B. Alberts}, Algebra Number Theory 15, No. 10, 2513--2569 (2021; Zbl 07480696) Full Text: DOI arXiv OpenURL
Reichstein, Zinovy From Hilbert’s 13th problem to essential dimension and back. (English) Zbl 07475657 Eur. Math. Soc. Mag. 122, 4-15 (2021). MSC: 14L30 12F10 11E72 14E05 12-03 01A60 PDF BibTeX XML Cite \textit{Z. Reichstein}, Eur. Math. Soc. Mag. 122, 4--15 (2021; Zbl 07475657) Full Text: DOI OpenURL
Thắng, Nguyễn Quốc On Brauer-Manin obstructions and analogs of Cassels-Tate’s exact sequence for connected reductive groups over global function fields. (English) Zbl 1483.11068 Proc. Japan Acad., Ser. A 97, No. 9, 67-72 (2021). MSC: 11E72 14G20 20G10 PDF BibTeX XML Cite \textit{N. Q. Thắng}, Proc. Japan Acad., Ser. A 97, No. 9, 67--72 (2021; Zbl 1483.11068) Full Text: DOI OpenURL
Newton, James; Thorne, Jack A. Symmetric power functoriality for holomorphic modular forms. II. (English) Zbl 07458826 Publ. Math., Inst. Hautes Étud. Sci. 134, 117-152 (2021). MSC: 11F80 11F70 11F67 PDF BibTeX XML Cite \textit{J. Newton} and \textit{J. A. Thorne}, Publ. Math., Inst. Hautes Étud. Sci. 134, 117--152 (2021; Zbl 07458826) Full Text: DOI arXiv OpenURL
Huebschmann, Johannes On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras. (English) Zbl 07453484 J. Geom. Mech. 13, No. 3, 385-402 (2021). MSC: 01A60 17B66 18G45 12G05 12H05 17-03 17B55 20J05 53-03 53D17 55Q15 58H05 PDF BibTeX XML Cite \textit{J. Huebschmann}, J. Geom. Mech. 13, No. 3, 385--402 (2021; Zbl 07453484) Full Text: DOI OpenURL
Rosengarten, Zev Tamagawa numbers and other invariants of pseudoreductive groups over global function fields. (English) Zbl 1485.11160 Algebra Number Theory 15, No. 8, 1865-1920 (2021). MSC: 11R58 11R56 11R34 11E99 PDF BibTeX XML Cite \textit{Z. Rosengarten}, Algebra Number Theory 15, No. 8, 1865--1920 (2021; Zbl 1485.11160) Full Text: DOI arXiv OpenURL
Demarche, Cyril; Florence, Mathieu Splitting families in Galois cohomology. (English. French summary) Zbl 07452924 Ann. Sci. Éc. Norm. Supér. (4) 54, No. 3, 779-792 (2021). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 12G05 14L30 14F20 PDF BibTeX XML Cite \textit{C. Demarche} and \textit{M. Florence}, Ann. Sci. Éc. Norm. Supér. (4) 54, No. 3, 779--792 (2021; Zbl 07452924) Full Text: DOI arXiv OpenURL
Krasoń, Piotr Note on linear relations in Galois cohomology and étale \(K\)-theory of curves. (English) Zbl 1485.19006 Commun. Contemp. Math. 23, No. 8, Article ID 2150010, 15 p. (2021). MSC: 19E08 12G05 19E20 11G30 14H40 14G12 PDF BibTeX XML Cite \textit{P. Krasoń}, Commun. Contemp. Math. 23, No. 8, Article ID 2150010, 15 p. (2021; Zbl 1485.19006) Full Text: DOI arXiv OpenURL
Sánchez, Omar León; Pillay, Anand Differential Galois cohomology and parameterized Picard-Vessiot extensions. (English) Zbl 07442603 Commun. Contemp. Math. 23, No. 8, Article ID 2050081, 25 p. (2021). Reviewer: Amador Martin-Pizarro (Freiburg) MSC: 03C60 12H05 12L12 PDF BibTeX XML Cite \textit{O. L. Sánchez} and \textit{A. Pillay}, Commun. Contemp. Math. 23, No. 8, Article ID 2050081, 25 p. (2021; Zbl 07442603) Full Text: DOI arXiv OpenURL
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations. (English) Zbl 07442561 Duke Math. J. 170, No. 16, 3505-3599 (2021). MSC: 11F80 11R34 11R39 PDF BibTeX XML Cite \textit{N. Fakhruddin} et al., Duke Math. J. 170, No. 16, 3505--3599 (2021; Zbl 07442561) Full Text: DOI arXiv OpenURL
Izquierdo, Diego; Lucchini Arteche, Giancarlo Local-global principles for homogeneous spaces over some two-dimensional geometric global fields. (English) Zbl 07436429 J. Reine Angew. Math. 781, 165-186 (2021). MSC: 11E72 14G25 14M17 12G05 14F22 14G05 PDF BibTeX XML Cite \textit{D. Izquierdo} and \textit{G. Lucchini Arteche}, J. Reine Angew. Math. 781, 165--186 (2021; Zbl 07436429) Full Text: DOI arXiv OpenURL
Rosengarten, Zev Pathological behavior of arithmetic invariants of unipotent groups. (English) Zbl 1483.11253 Algebra Number Theory 15, No. 7, 1593-1626 (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R58 11R34 11R56 11E99 PDF BibTeX XML Cite \textit{Z. Rosengarten}, Algebra Number Theory 15, No. 7, 1593--1626 (2021; Zbl 1483.11253) Full Text: DOI arXiv OpenURL
Anschütz, Johannes Breuil-Kisin-Fargues modules with complex multiplication. (English) Zbl 07418759 J. Inst. Math. Jussieu 20, No. 6, 1855-1904 (2021). Reviewer: Salman Abdulali (Greenville) MSC: 14F30 13F35 PDF BibTeX XML Cite \textit{J. Anschütz}, J. Inst. Math. Jussieu 20, No. 6, 1855--1904 (2021; Zbl 07418759) Full Text: DOI arXiv OpenURL
Borovoi, Mikhail; Daw, Christopher; Ren, Jinbo Conjugation of semisimple subgroups over real number fields of bounded degree. (English) Zbl 07411859 Proc. Am. Math. Soc. 149, No. 12, 4973-4984 (2021). MSC: 11E72 20G30 PDF BibTeX XML Cite \textit{M. Borovoi} et al., Proc. Am. Math. Soc. 149, No. 12, 4973--4984 (2021; Zbl 07411859) Full Text: DOI arXiv Link OpenURL
Berger, Laurent; Di Matteo, Giovanni On triangulable tensor products of \(B\)-pairs and trianguline representations. (English) Zbl 07410930 Int. J. Number Theory 17, No. 10, 2221-2233 (2021). Reviewer: Dingxin Zhang (Beijing) MSC: 14F30 11F80 11F33 11S15 11S20 11S31 PDF BibTeX XML Cite \textit{L. Berger} and \textit{G. Di Matteo}, Int. J. Number Theory 17, No. 10, 2221--2233 (2021; Zbl 07410930) 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
Lawrence, Brian; Li, Shizhang A counterexample to an optimistic guess about étale local systems. (English) Zbl 1472.14024 C. R., Math., Acad. Sci. Paris 359, No. 8, 923-924 (2021). MSC: 14F30 14G22 11S15 11S20 PDF BibTeX XML Cite \textit{B. Lawrence} and \textit{S. Li}, C. R., Math., Acad. Sci. Paris 359, No. 8, 923--924 (2021; Zbl 1472.14024) Full Text: DOI arXiv OpenURL
Hoshi, Akinari; Koshiba, Masakazu On Lecacheux’s family of quintic polynomials. (English) Zbl 1479.11093 Proc. Japan Acad., Ser. A 97, No. 1, 1-6 (2021). Reviewer: Noriko Yui (Kingston) MSC: 11G05 11R20 12F20 12G05 PDF BibTeX XML Cite \textit{A. Hoshi} and \textit{M. Koshiba}, Proc. Japan Acad., Ser. A 97, No. 1, 1--6 (2021; Zbl 1479.11093) Full Text: DOI arXiv OpenURL
Cobbe, Alessandro A representative of \(R{\Gamma}(N,T)\) for higher dimensional twists of \(\mathbb{Z}_p^r(1)\). (English) Zbl 1483.11256 Int. J. Number Theory 17, No. 8, 1925-1949 (2021). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11S23 11S25 11Y40 PDF BibTeX XML Cite \textit{A. Cobbe}, Int. J. Number Theory 17, No. 8, 1925--1949 (2021; Zbl 1483.11256) Full Text: DOI arXiv OpenURL
Quadrelli, Claudio One-relator maximal pro-\(p\) Galois groups and the Koszulity conjectures. (English) Zbl 1479.12004 Q. J. Math. 72, No. 3, 835-854 (2021). Reviewer: Tamar Bar-On (Ramat Gan) MSC: 12G05 12F10 20E18 16S37 PDF BibTeX XML Cite \textit{C. Quadrelli}, Q. J. Math. 72, No. 3, 835--854 (2021; Zbl 1479.12004) Full Text: DOI arXiv OpenURL
Kashio, Tomokazu; Sekigawa, Ryutaro The characterization of cyclic cubic fields with power integral bases. (English) Zbl 1478.11126 Kodai Math. J. 44, No. 2, 290-306 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11D25 11R29 11R34 PDF BibTeX XML Cite \textit{T. Kashio} and \textit{R. Sekigawa}, Kodai Math. J. 44, No. 2, 290--306 (2021; Zbl 1478.11126) Full Text: DOI arXiv OpenURL
Bayer-Fluckiger, Eva; Serre, Jean-Pierre Lines on cubic surfaces, Witt invariants and Stiefel-Whitney classes. (English) Zbl 1471.12005 Indag. Math., New Ser. 32, No. 5, 920-938 (2021). MSC: 12G05 14J26 11E57 11E72 55R40 12F10 14F42 14M20 PDF BibTeX XML Cite \textit{E. Bayer-Fluckiger} and \textit{J.-P. Serre}, Indag. Math., New Ser. 32, No. 5, 920--938 (2021; Zbl 1471.12005) Full Text: DOI arXiv OpenURL
Ahmed, Suman; Lim, Meng Fai On the algebraic functional equation for the mixed signed Selmer group over multiple \(\mathbb{Z}_p\)-extensions. (English) Zbl 1483.11242 Proc. Am. Math. Soc. 149, No. 11, 4541-4553 (2021). MSC: 11R23 11S25 11G05 PDF BibTeX XML Cite \textit{S. Ahmed} and \textit{M. F. Lim}, Proc. Am. Math. Soc. 149, No. 11, 4541--4553 (2021; Zbl 1483.11242) Full Text: DOI arXiv OpenURL
Alberts, Brandon; O’Dorney, Evan Harmonic analysis and statistics of the first Galois cohomology group. (English) Zbl 1469.11386 Res. Math. Sci. 8, No. 3, Paper No. 50, 16 p. (2021). MSC: 11N45 11M45 11R34 PDF BibTeX XML Cite \textit{B. Alberts} and \textit{E. O'Dorney}, Res. Math. Sci. 8, No. 3, Paper No. 50, 16 p. (2021; Zbl 1469.11386) Full Text: DOI arXiv OpenURL
Hamacher, Paul; Kim, Wansu On \(\mathsf{G} \)-isoshtukas over function fields. (English) Zbl 1482.11153 Sel. Math., New Ser. 27, No. 4, Paper No. 75, 34 p. (2021). MSC: 11S25 11G09 20G30 PDF BibTeX XML Cite \textit{P. Hamacher} and \textit{W. Kim}, Sel. Math., New Ser. 27, No. 4, Paper No. 75, 34 p. (2021; Zbl 1482.11153) Full Text: DOI arXiv OpenURL
Lim, Meng Fai Some remarks on Kida’s formula when \(\mu\neq 0\). (English) Zbl 1483.11244 Ramanujan J. 55, No. 3, 1127-1144 (2021). MSC: 11R23 11R34 11F80 16S34 PDF BibTeX XML Cite \textit{M. F. Lim}, Ramanujan J. 55, No. 3, 1127--1144 (2021; Zbl 1483.11244) Full Text: DOI arXiv OpenURL
Cotti, Giordano Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials. (English) Zbl 1477.53112 Lett. Math. Phys. 111, No. 4, Paper No. 99, 44 p. (2021). MSC: 53D45 34M40 34M50 34M56 PDF BibTeX XML Cite \textit{G. Cotti}, Lett. Math. Phys. 111, No. 4, Paper No. 99, 44 p. (2021; Zbl 1477.53112) Full Text: DOI arXiv OpenURL
Prasad, Dipendra; Shekhar, Sudhanshu Relating the Tate-Shafarevich group of an elliptic curve with the class group. (English) Zbl 07383189 Pac. J. Math. 312, No. 1, 203-218 (2021). Reviewer: Jackson Morrow (Berkeley) MSC: 11G05 PDF BibTeX XML Cite \textit{D. Prasad} and \textit{S. Shekhar}, Pac. J. Math. 312, No. 1, 203--218 (2021; Zbl 07383189) Full Text: DOI arXiv OpenURL
Illusie, Luc Grothendieck and vanishing cycles. (English. French summary) Zbl 1473.14001 Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 1, 83-115 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14-02 14-03 01A65 11F80 11G10 13D09 14D05 14F20 14G20 14K30 14H25 14L05 14L15 PDF BibTeX XML Cite \textit{L. Illusie}, Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 1, 83--115 (2021; Zbl 1473.14001) Full Text: DOI OpenURL
Schempp, Walter J. Congruence and metaplectic covariance: rational biquadratic reciprocity and quantum entanglement. (English) Zbl 07381517 Constr. Math. Anal. 4, No. 1, 61-80 (2021). MSC: 11R18 11S25 11T22 PDF BibTeX XML Cite \textit{W. J. Schempp}, Constr. Math. Anal. 4, No. 1, 61--80 (2021; Zbl 07381517) Full Text: DOI OpenURL
Rapinchuk, Andrei S.; Rapinchuk, Igor A. Recent developments in the theory of linear algebraic groups: good reduction and finiteness properties. (English) Zbl 07381484 Notices Am. Math. Soc. 68, No. 6, 899-910 (2021). MSC: 20G10 11E72 14L15 20G05 20-03 01A61 PDF BibTeX XML Cite \textit{A. S. Rapinchuk} and \textit{I. A. Rapinchuk}, Notices Am. Math. Soc. 68, No. 6, 899--910 (2021; Zbl 07381484) Full Text: DOI arXiv OpenURL
Florence, Mathieu; Gille, Philippe Residues on affine Grassmannians. (English) Zbl 1478.14070 J. Reine Angew. Math. 776, 119-150 (2021). MSC: 14L15 11E72 14M15 20G15 PDF BibTeX XML Cite \textit{M. Florence} and \textit{P. Gille}, J. Reine Angew. Math. 776, 119--150 (2021; Zbl 1478.14070) Full Text: DOI arXiv OpenURL
Maarefparvar, Abbas Pólya group in some real biquadratic fields. (English) Zbl 07377272 J. Number Theory 228, 1-7 (2021). MSC: 11R11 11R16 11R34 PDF BibTeX XML Cite \textit{A. Maarefparvar}, J. Number Theory 228, 1--7 (2021; Zbl 07377272) Full Text: DOI OpenURL
Kramer-Miller, Joe Slope filtrations of \(F\)-isocrystals and logarithmic decay. (English) Zbl 1475.14044 Math. Res. Lett. 28, No. 1, 107-125 (2021). MSC: 14F30 11F80 PDF BibTeX XML Cite \textit{J. Kramer-Miller}, Math. Res. Lett. 28, No. 1, 107--125 (2021; Zbl 1475.14044) Full Text: DOI OpenURL
Ray, Anwesh Deformations of certain reducible Galois representations. III. (English) Zbl 1479.11089 Int. J. Number Theory 17, No. 6, 1429-1485 (2021). MSC: 11F80 11R34 PDF BibTeX XML Cite \textit{A. Ray}, Int. J. Number Theory 17, No. 6, 1429--1485 (2021; Zbl 1479.11089) Full Text: DOI arXiv OpenURL
Tapušković, Matija Motivic Galois coaction and one-loop Feynman graphs. (English) Zbl 1469.81049 Commun. Number Theory Phys. 15, No. 2, 221-278 (2021). MSC: 81T18 16T05 11E72 PDF BibTeX XML Cite \textit{M. Tapušković}, Commun. Number Theory Phys. 15, No. 2, 221--278 (2021; Zbl 1469.81049) Full Text: DOI arXiv OpenURL
Pappas, Georgios Volume and symplectic structure for \(\ell\)-adic local systems. (English) Zbl 1483.14036 Adv. Math. 387, Article ID 107836, 70 p. (2021). MSC: 14F20 14G22 11F80 19F27 11R34 11R37 11R70 18F25 PDF BibTeX XML Cite \textit{G. Pappas}, Adv. Math. 387, Article ID 107836, 70 p. (2021; Zbl 1483.14036) 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
Sato, Kanetomo Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces. (English) Zbl 1471.14045 J. Number Theory 227, 166-234 (2021). MSC: 14F20 19F27 14G10 11R34 14F42 PDF BibTeX XML Cite \textit{K. Sato}, J. Number Theory 227, 166--234 (2021; Zbl 1471.14045) Full Text: DOI arXiv OpenURL
Mazzari, Nicola On log differentials of local fields. (English) Zbl 1465.14026 Rend. Semin. Mat. Univ. Padova 145, 207-212 (2021). MSC: 14G20 14L05 14F30 11S20 PDF BibTeX XML Cite \textit{N. Mazzari}, Rend. Semin. Mat. Univ. Padova 145, 207--212 (2021; Zbl 1465.14026) Full Text: DOI arXiv OpenURL
Harbater, David; Krashen, Daniel; Pirutka, Alena Local-global principles for curves over semi-global fields. (English) Zbl 1478.11060 Bull. Lond. Math. Soc. 53, No. 1, 177-193 (2021). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E72 14H25 20G15 11G20 12G05 14G27 PDF BibTeX XML Cite \textit{D. Harbater} et al., Bull. Lond. Math. Soc. 53, No. 1, 177--193 (2021; Zbl 1478.11060) Full Text: DOI arXiv OpenURL
Gepner, David; Lawson, Tyler Brauer groups and Galois cohomology of commutative ring spectra. (English) Zbl 1469.55006 Compos. Math. 157, No. 6, 1211-1264 (2021). Reviewer: Gabriel Angelini-Knoll (Berlin) MSC: 55P43 55S35 12G05 16K50 PDF BibTeX XML Cite \textit{D. Gepner} and \textit{T. Lawson}, Compos. Math. 157, No. 6, 1211--1264 (2021; Zbl 1469.55006) Full Text: DOI arXiv OpenURL
Jha, Somnath; Majumdar, Dipramit; Shekhar, Sudhanshu \(p^r\)-Selmer companion modular forms. (\(p^r\)-Selmer compagnon formes modulaires.) (English. French summary) Zbl 1472.11132 Ann. Inst. Fourier 71, No. 1, 53-87 (2021). MSC: 11F33 11R23 11R34 11S25 11G40 PDF BibTeX XML Cite \textit{S. Jha} et al., Ann. Inst. Fourier 71, No. 1, 53--87 (2021; Zbl 1472.11132) Full Text: DOI arXiv OpenURL
Gunton, Cody Semistable abelian varieties and maximal torsion 1-crystalline submodules. (English. French summary) Zbl 07359128 J. Théor. Nombres Bordx. 33, No. 1, 39-81 (2021). Reviewer: G. K. Sankaran (Bath) MSC: 11R34 11R33 14K15 PDF BibTeX XML Cite \textit{C. Gunton}, J. Théor. Nombres Bordx. 33, No. 1, 39--81 (2021; Zbl 07359128) Full Text: DOI arXiv OpenURL
Stavrova, Anastasia Torsors of isotropic reductive groups over Laurent polynomials. (English) Zbl 07358908 Doc. Math. 26, 661-673 (2021). Reviewer: Rabeya Basu (Pune) MSC: 14F20 20G35 17B67 19B28 11E72 PDF BibTeX XML Cite \textit{A. Stavrova}, Doc. Math. 26, 661--673 (2021; Zbl 07358908) Full Text: DOI arXiv OpenURL
Grady, Daniel; Sati, Hisham Differential cohomotopy versus differential cohomology for M-theory and differential lifts of Postnikov towers. (English) Zbl 1467.81080 J. Geom. Phys. 165, Article ID 104203, 24 p. (2021). MSC: 81T32 57R19 55P62 14G32 PDF BibTeX XML Cite \textit{D. Grady} and \textit{H. Sati}, J. Geom. Phys. 165, Article ID 104203, 24 p. (2021; Zbl 1467.81080) Full Text: DOI arXiv OpenURL
Moser-Jauslin, Lucy; Terpereau, Ronan Real structures on symmetric spaces. (English) Zbl 1462.14054 Proc. Am. Math. Soc. 149, No. 8, 3159-3172 (2021). MSC: 14M27 14M17 20G20 11E72 14P99 PDF BibTeX XML Cite \textit{L. Moser-Jauslin} and \textit{R. Terpereau}, Proc. Am. Math. Soc. 149, No. 8, 3159--3172 (2021; Zbl 1462.14054) Full Text: DOI arXiv OpenURL
Mishra, Sumit Chandra Local-global principles for norm one tori over semi-global fields. (English) Zbl 07357464 Math. Z. 298, No. 1-2, 1-21 (2021). Reviewer: Saurabh Gosavi (Piscataway) MSC: 11E72 11G35 PDF BibTeX XML Cite \textit{S. C. Mishra}, Math. Z. 298, No. 1--2, 1--21 (2021; Zbl 07357464) Full Text: DOI arXiv OpenURL
Baek, Sanghoon Degree 3 unramified cohomology of classifying spaces for exceptional groups. (English) Zbl 07357187 J. Pure Appl. Algebra 225, No. 10, Article ID 106718, 15 p. (2021). MSC: 20G10 20G41 11E72 12G05 14L30 14M17 PDF BibTeX XML Cite \textit{S. Baek}, J. Pure Appl. Algebra 225, No. 10, Article ID 106718, 15 p. (2021; Zbl 07357187) Full Text: DOI arXiv OpenURL
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Ramakrishna, Ravi Quantitative level lowering for Galois representations. (English) Zbl 1480.11068 J. Lond. Math. Soc., II. Ser. 103, No. 1, 250-287 (2021). Reviewer: Zhixiang Wu (Paris) MSC: 11F85 11F33 11F80 11R34 PDF BibTeX XML Cite \textit{N. Fakhruddin} et al., J. Lond. Math. Soc., II. Ser. 103, No. 1, 250--287 (2021; Zbl 1480.11068) Full Text: DOI arXiv OpenURL
Jetchev, Dimitar; Loeffler, David; Zerbes, Sarah Livia Heegner points in Coleman families. (English) Zbl 1477.11108 Proc. Lond. Math. Soc. (3) 122, No. 1, 124-152 (2021). MSC: 11F80 11F67 PDF BibTeX XML Cite \textit{D. Jetchev} et al., Proc. Lond. Math. Soc. (3) 122, No. 1, 124--152 (2021; Zbl 1477.11108) Full Text: DOI arXiv OpenURL
Fiori, Andrew Rational conjugacy classes of maximal tori in groups of type \(D_n\). (English) Zbl 1469.11058 J. Algebra Appl. 20, No. 4, Article ID 2150063, 52 p. (2021). MSC: 11E57 20G15 20G30 11E72 PDF BibTeX XML Cite \textit{A. Fiori}, J. Algebra Appl. 20, No. 4, Article ID 2150063, 52 p. (2021; Zbl 1469.11058) Full Text: DOI arXiv OpenURL
Sheng, Mao; Tong, Jilong A note on Higgs-de Rham flows of level zero. (English) Zbl 1472.14031 Sci. China, Math. 64, No. 2, 307-330 (2021). MSC: 14G17 14F30 14F40 14J60 PDF BibTeX XML Cite \textit{M. Sheng} and \textit{J. Tong}, Sci. China, Math. 64, No. 2, 307--330 (2021; Zbl 1472.14031) Full Text: DOI arXiv OpenURL
Stoppa, Jacopo Stable pairs, flat connections and Gopakumar-Vafa invariants. (English) Zbl 1460.14124 Boll. Unione Mat. Ital. 14, No. 1, 117-136 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14N35 34M50 PDF BibTeX XML Cite \textit{J. Stoppa}, Boll. Unione Mat. Ital. 14, No. 1, 117--136 (2021; Zbl 1460.14124) Full Text: DOI arXiv OpenURL
Rella, Claudia An introduction to motivic Feynman integrals. (English) Zbl 1473.81067 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 032, 56 p. (2021). Reviewer: Juan Carlos Vasquez (Amherst) MSC: 81Q30 81T18 81T15 14C15 14C30 14F40 11R32 81-02 14-02 PDF BibTeX XML Cite \textit{C. Rella}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 032, 56 p. (2021; Zbl 1473.81067) Full Text: DOI arXiv OpenURL
Hoshi, Akinari; Yamasaki, Aiichi Rationality problem for norm one tori. (English) Zbl 1475.14025 Isr. J. Math. 241, No. 2, 849-867 (2021). MSC: 14E08 11E72 12F20 13A50 20G15 PDF BibTeX XML Cite \textit{A. Hoshi} and \textit{A. Yamasaki}, Isr. J. Math. 241, No. 2, 849--867 (2021; Zbl 1475.14025) Full Text: DOI arXiv OpenURL
Lai, King Fai; Tan, Ki-Seng A generalized Iwasawa’s theorem and its application. (English) Zbl 1472.11283 Res. Math. Sci. 8, No. 2, Paper No. 20, 18 p. (2021). Reviewer: Andrea Bandini (Pisa) MSC: 11R29 11R23 12G05 11R65 PDF BibTeX XML Cite \textit{K. F. Lai} and \textit{K.-S. Tan}, Res. Math. Sci. 8, No. 2, Paper No. 20, 18 p. (2021; Zbl 1472.11283) Full Text: DOI OpenURL
Ahmed, Suman; Lim, Meng Fai On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above \(p\). (English) Zbl 1473.11200 Acta Arith. 197, No. 4, 353-377 (2021). MSC: 11R23 11G05 11S25 PDF BibTeX XML Cite \textit{S. Ahmed} and \textit{M. F. Lim}, Acta Arith. 197, No. 4, 353--377 (2021; Zbl 1473.11200) Full Text: DOI arXiv OpenURL