Xie, Jiaqi; Xu, Fei Integral embeddings of central simple algebras over number fields. arXiv:2502.04743 Preprint, arXiv:2502.04743 [math.NT] (2025). MSC: 14G12 11E57 11E72 × Cite Format Result Cite Full Text: arXiv
Thang, Nguyen Quoc On Brauer-Manin obstruction to the Hasse principle and weak approximation for homogeneous spaces under connected reductive groups over global fields. (English) Zbl 07957827 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 35, No. 2, 237-309 (2024). MSC: 14G12 14F22 11G25 20G30 20G35 × Cite Format Result Cite Review PDF Full Text: DOI
Balestrieri, Francesca; Berg, Jennifer Descent and étale-Brauer obstructions for 0-cycles. (English) Zbl 07936792 Int. Math. Res. Not. 2024, No. 16, 11712-11748 (2024). MSC: 14G05 14G12 14F22 14M22 11G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kunyavskiĭ, Boris Tori and surfaces violating a local-to-global principle for rationality. (Tores et surfaces violant le principe local-global pour la rationalité.) (English. French summary) Zbl 07929047 C. R., Math., Acad. Sci. Paris 362, 841-849 (2024). MSC: 14E08 14G12 14G25 14F22 14J20 14J26 14M20 11G35 20G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nicholson, John Projective modules and the homotopy classification of \((G, n)\)-complexes. (English) Zbl 1547.55012 Algebr. Geom. Topol. 24, No. 4, 2245-2284 (2024). Reviewer: Kohhei Yamaguchi (Tōkyō) MSC: 55P15 55U15 20C05 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dao, Quang-Duc Brauer-Manin obstruction for Wehler \(K3\) surfaces of Markoff type. (English) Zbl 07900417 Int. J. Number Theory 20, No. 8, 1967-2008 (2024). MSC: 14G12 14J28 14F22 11G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Haowen Reciprocity obstruction to strong approximation over \(p\)-adic function fields. (English) Zbl 07894715 J. Number Theory 264, 99-134 (2024). MSC: 11E72 12G05 14G12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Linh, Nguyen Manh Algebraic Brauer groups modulo constants of homogeneous spaces and their compactifications. (Groupes de Brauer algébriques modulo les constantes d’espaces homogènes et leurs compactifications.) (French. English summary) Zbl 1547.14030 C. R., Math., Acad. Sci. Paris 362, 693-700 (2024). Reviewer: Giancarlo Lucchini Arteche (Santiago) MSC: 14F22 14G12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klein, John R. On finite domination and Poincaré duality. (English) Zbl 1544.19003 Homology Homotopy Appl. 26, No. 1, 29-35 (2024). Reviewer: Christoph Winges (Regensburg) MSC: 19J05 57P10 16E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koymans, P.; Rome, N. Weak approximation on the norm one torus. (English) Zbl 1546.11143 Compos. Math. 160, No. 6, 1304-1348 (2024). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N45 11R20 14G12 20G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Yang Invariant Brauer subgroup for an arbitrary connected algebraic group. (Sous-groupe de Brauer invariant pour un groupe algébrique connexe quelconque.) (French. English summary) Zbl 07852666 Ann. Inst. Fourier 74, No. 2, 627-661 (2024). MSC: 14G12 14F22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balestrieri, Francesca Degrees of closed points on hypersurfaces. (English) Zbl 1543.14018 Math. Nachr. 297, No. 5, 1831-1837 (2024). Reviewer: Qixiao Ma (Shanghai) MSC: 14G05 14M20 11E81 14G12 14J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Roushon, S. K. Corrigendum to: “A certain structure of Artin groups and the isomorphism conjecture”. (English) Zbl 1537.19002 Can. J. Math. 76, No. 2, 729-730 (2024). MSC: 19B99 19G24 20F36 57R67 57N37 × Cite Format Result Cite Review PDF Full Text: DOI
Berg, Jennifer; Pagano, Carlo; Poonen, Bjorn; Stoll, Michael; Triantafillou, Nicholas; Viray, Bianca; Vogt, Isabel Brauer-Manin obstructions requiring arbitrarily many Brauer classes. (English) Zbl 1540.14052 Bull. Lond. Math. Soc. 56, No. 5, 1587-1604 (2024). Reviewer: Sami Omar (Sukhair) MSC: 14G05 11G25 14F22 14J20 14J26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Giovanni, F.; Trombetti, M.; Wehrfritz, B. A. F. Hall classes of groups. (English) Zbl 1537.20084 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 2, Paper No. 50, 18 p. (2024). Reviewer: Enrico Jabara (Venezia) MSC: 20F18 20F19 × Cite Format Result Cite Review PDF Full Text: DOI
Linh, Nguyen Manh Arithmetics of homogeneous spaces over \(p\)-adic function fields. (English) Zbl 1540.14055 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12842, 56 p. (2024). Reviewer: Felipe Gambardella (Paris) MSC: 14G05 14G12 11E72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Uppal, H. Integral points on symmetric affine cubic surfaces. (English) Zbl 1533.14020 Manuscr. Math. 173, No. 3-4, 1305-1331 (2024). Reviewer: Felipe Gambardella (Paris) MSC: 14G12 11D25 14G05 14F22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO MO
Nguyễn, Mạnh Linh On the homogeneous spaces of Borovoi-Kunyavskii. (Sur les espaces homogènes de Borovoi-Kunyavskii.) (French. English summary) Zbl 1547.14034 Algebra Number Theory 18, No. 2, 349-387 (2024). MSC: 14G12 14G05 12G05 14F22 14G25 11R34 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, William Y. Nonabelian level structures, Nielsen equivalence, and Markoff triples. (English) Zbl 07782633 Ann. Math. (2) 199, No. 1, 301-443 (2024). MSC: 11D25 11J06 14H10 14H30 14D20 14G12 14M35 20D60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dao, Quang-Duc Brauer-Manin obstruction for integral points on Markoff-type cubic surfaces. (English) Zbl 1535.14061 J. Number Theory 254, 65-102 (2024). MSC: 14G12 14F22 11G35 11D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jeon, Seongsu; Lee, Yuchan An asymptotic formula for the number of integral matrices with a fixed characteristic polynomial via orbital integrals. arXiv:2501.00284 Preprint, arXiv:2501.00284 [math.NT] (2024). MSC: 11F72 11G35 11R37 11S80 14F22 14G12 20G30 20G35 × Cite Format Result Cite Full Text: arXiv OA License
Opie, Morgan P. Enumerating complex rank \(n\) vector bundles on \(\mathbb CP^{n+1}\). arXiv:2410.23520 Preprint, arXiv:2410.23520 [math.AT] (2024). MSC: 55R25 55S35 55R35 55R37 55R50 × Cite Format Result Cite Full Text: arXiv OA License
Biswas, Mridul; Ramachandran, Divyasree C; Samanta, Biswanath On the order of Brauer classes capturing Brauer-Manin Obstruction. arXiv:2410.15125 Preprint, arXiv:2410.15125 [math.NT] (2024). MSC: 14G05 14G12 11G35 14J20 11G25 14F22 × Cite Format Result Cite Full Text: arXiv
Đonlagić, Azur Brauer-Manin obstructions for homogeneous spaces of commutative affine algebraic groups over global fields. arXiv:2410.12127 Preprint, arXiv:2410.12127 [math.NT] (2024). MSC: 14G12 20G30 11G35 14G17 20G10 × Cite Format Result Cite Full Text: arXiv OA License
Cassady, Connor Two refined notions in quadratic form theory. arXiv:2401.16602 Preprint, arXiv:2401.16602 [math.NT] (2024). MSC: 11E04 11E81 14G12 12J10 13J10 × Cite Format Result Cite Full Text: arXiv OA License
Balderrama, William Algebraic theories of power operations. (English) Zbl 1546.55021 J. Topol. 16, No. 4, 1543-1640 (2023). Reviewer: Lennart Meier (Utrecht) MSC: 55Q35 55S35 16S37 18C10 55N22 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pitsch, Wolfgang; Scherer, Jérome Floyd’s manifold is a conjugation space. (English) Zbl 1531.55014 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 3, 1487-1497 (2023). Reviewer: Saïd Zarati (Tunis) MSC: 55P91 57S17 55S10 55S35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bright, Martin; Newton, Rachel Evaluating the wild Brauer group. (English) Zbl 1541.14033 Invent. Math. 234, No. 2, 819-891 (2023). Reviewer: Stefan Schröer (Düsseldorf) MSC: 14F22 14G12 14G20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avvakumov, S.; Karasev, R.; Skopenkov, A. Stronger counterexamples to the topological Tverberg conjecture. (English) Zbl 1549.52028 Combinatorica 43, No. 4, 717-727 (2023). Reviewer: Corina Mohorianu (Iaşi) MSC: 52C35 55S91 57S17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Haowen Weak approximation for homogeneous spaces over some two-dimensional geometric global fields. (English) Zbl 1528.14027 Bull. Lond. Math. Soc. 55, No. 1, 308-320 (2023). Reviewer: Dylon Chow (Seattle) MSC: 14G12 11E72 14M17 14G27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kodani, Hisatoshi; Terashima, Yuji Arithmetic Orr invariants of absolute Galois groups. (English) Zbl 1524.11214 Int. Math. Res. Not. 2023, No. 13, 11316-11403 (2023). MSC: 11S25 14H30 55S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Guozhen; Xu, Zhouli Stable homotopy groups. (English) Zbl 1517.55002 Eur. Math. Soc. Mag. 128, 23-29 (2023). MSC: 55Q45 55Q10 55-02 × Cite Format Result Cite Review PDF Full Text: DOI
Lyczak, Julian Order \(5\) Brauer-Manin obstructions to the integral Hasse principle on log \(K3\) surfaces. (Obstruction de Brauer-Manin d’ordre 5 au principe de Hasse entier sur des surfaces log \(K3\).) (English. French summary) Zbl 1525.14029 Ann. Inst. Fourier 73, No. 2, 447-478 (2023). Reviewer: Rosa Winter (London) MSC: 14G12 14J26 14F22 11G35 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hyde, James; Moore, Justin Tatch Subgroups of \(\mathrm{PL}_+ I\) which do not embed into Thompson’s group \(F\). (English) Zbl 1515.20176 Groups Geom. Dyn. 17, No. 2, 533-554 (2023). Reviewer: Matthew Zaremsky (Albany) MSC: 20F38 20E07 20F28 37C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ieronymou, Evis Brauer-Manin obstruction for zero-cycles on certain varieties. (English) Zbl 1525.11070 J. Théor. Nombres Bordx. 35, No. 1, 151-166 (2023). Reviewer: Caleb Ji (New York) MSC: 11G25 11G35 14F22 14J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cassady, Connor Hasse principles for quadratic forms over function fields. (English) Zbl 1527.11029 J. Algebra 628, 613-633 (2023). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E04 11E72 11E81 12F20 12G05 12J10 13J10 14G12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Libardi, Alice K. M.; De Mattos, Denise; Dos Santos, Edivaldo L. On intersection and transversality of maps. (English) Zbl 1546.57061 Proc. Am. Math. Soc. 151, No. 7, 3145-3156 (2023). Reviewer: Leonard R. Rubin (Norman) MSC: 57N75 54C20 57R42 55Q10 55P60 × Cite Format Result Cite Review PDF Full Text: DOI
Lazar, Youssef On the density of \(S\)-adic integers near some projective \(G\)-varieties. (English) Zbl 1530.11065 Ann. Fenn. Math. 48, No. 1, 187-204 (2023). Reviewer: Michel Waldschmidt (Paris) MSC: 11J25 11J61 20G35 14L30 14G12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Smrekar, Jaka Rational Reidemeister trace of an outer automorphism of finite order. (English) Zbl 1512.20184 J. Pure Appl. Algebra 227, No. 7, Article ID 107350, 13 p. (2023). MSC: 20J05 20F28 20F38 57M07 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Yang Corrigendum to: “Invariant Brauer subgroup and iterated descent obstruction”. (Correction à l’article “Sous-groupe de Brauer invariant et obstruction de descente itérée”.) (French. English summary) Zbl 1523.11114 Algebra Number Theory 17, No. 1, 261-266 (2023). MSC: 11G35 14G05 20G35 × Cite Format Result Cite Review PDF Full Text: DOI
Ieronymou, Evis Applications of the fibration method to the Brauer-Manin obstruction to the existence of zero-cycles on certain varieties. (English) Zbl 1516.11069 Int. J. Number Theory 19, No. 2, 409-417 (2023). MSC: 11G35 11G25 14G12 14F22 14G05 14C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balestrieri, Francesca Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. (English) Zbl 1504.14046 Proc. Am. Math. Soc. 151, No. 3, 907-914 (2023). MSC: 14G12 11G35 14M17 20G10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Ponto, Kate Obstruction theory in a model category and Klein and Williams’ intersection invariants. (English) Zbl 1508.55011 Proc. Am. Math. Soc. 151, No. 1, 439-452 (2023). Reviewer: Timothy L. Clark (Adrian) MSC: 55S35 18N40 55U35 55Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arcila-Maya, Niny Decomposition of Symplectic Vector Bundles and Azumaya Algebras. arXiv:2311.17029 Preprint, arXiv:2311.17029 [math.AT] (2023). MSC: 55P99 55Q52 55S35 55S45 16H05 16W10 × Cite Format Result Cite Full Text: arXiv
Lyczak, Julian; Mitankin, Vladimir; Uppal, H. Cubic surfaces failing the integral Hasse principle. arXiv:2311.10008 Preprint, arXiv:2311.10008 [math.NT] (2023). MSC: 14G12 11D25 14G05 14F22 × Cite Format Result Cite Full Text: arXiv OA License
Colliot-Thélène, Jean-Louis Die Brauersche Gruppe; ihre Verallgemeinerungen und Anwendungen in der arithmetischen Geometrie. arXiv:2311.02437 Preprint, arXiv:2311.02437 [math.AG] (2023). MSC: 16K50 12G05 14F22 14G12 01A60 × Cite Format Result Cite Full Text: arXiv OA License
Ivanov, Alexander B.; Paladino, Laura Testing local-global divisibility at a stable set. arXiv:2309.03514 Preprint, arXiv:2309.03514 [math.NT] (2023). MSC: 11R45 11G05 20G30 11G35 14G12 × Cite Format Result Cite Full Text: arXiv OA License
Cassady, Connor Universal quadratic forms over semi-global fields. arXiv:2309.00689 Preprint, arXiv:2309.00689 [math.NT] (2023). MSC: 11E04 11E81 14G12 14H25 13J10 16W60 × Cite Format Result Cite Full Text: arXiv OA License
Demarche, Cyril; Harari, David Local-global principles for homogeneous spaces of reductive groups over global function fields. (Principe local-global pour les espaces homogènes de groupes réductifs sur les corps globaux de fonctions.) (English. French summary) Zbl 1531.11040 Ann. Henri Lebesgue 5, 1111-1149 (2022). Reviewer: Yong Hu (Guangdong) MSC: 11E72 11G35 14G12 14G25 14M17 20G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kebekus, Stefan; Pereira, Jorge Vitório; Smeets, Arne Failure of the Brauer-Manin principle for a simply connected fourfold over a global function field, via orbifold Mordell. (English) Zbl 1516.14043 Duke Math. J. 171, No. 17, 3515-3591 (2022). Reviewer: Stefan Schröer (Düsseldorf) MSC: 14F22 11G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyễn Quốc Thắng A note on obstructions to weak approximation and Brauer and R-equivalence relations for homogeneous spaces over global fields. (English) Zbl 1499.11178 Proc. Japan Acad., Ser. A 98, No. 9, 84-89 (2022). MSC: 11E72 14G12 14G20 20G10 × Cite Format Result Cite Review PDF Full Text: DOI
Bac, Dao Phuong On some estimates and topological properties of relative orbits of subsets. (English) Zbl 1509.11026 J. Algebra Appl. 21, No. 12, Article ID 2250241, 35 p. (2022). MSC: 11E95 14G12 11G25 14L24 14L30 20G15 22E35 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Han Noninvariance of weak approximation with Brauer-Manin obstruction for surfaces. (English) Zbl 1535.11093 Acta Arith. 205, No. 1, 21-32 (2022). MSC: 11G35 14G12 14F22 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, R.; Suresh, V. Local-global principles for constant reductive groups over semi-global fields. (English) Zbl 1502.14059 Mich. Math. J. 72, 77-144 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 14G12 14D10 14G20 14F20 14L15 11G20 05C05 20G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Harpaz, Yonatan; Wei, Dasheng; Wittenberg, Olivier Rational points on fibrations with few non-split fibres. (English) Zbl 1507.14036 J. Reine Angew. Math. 791, 89-133 (2022). MSC: 14G12 14G05 11G35 14G25 14F22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pstrągowski, Piotr Chromatic Picard groups at large primes. (English) Zbl 1502.55009 Proc. Am. Math. Soc. 150, No. 11, 4981-4988 (2022). Reviewer: Katsumi Shimomura (Kochi) MSC: 55P42 55N20 55P60 55S35 14C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
González Rodríguez, Ramón; Rodríguez Raposo, Ana Belén Cohomological obstructions and weak crossed products over weak Hopf algebras. (English) Zbl 1508.18012 J. Algebra 610, 491-526 (2022). Reviewer: Johannes Flake (Bonn) MSC: 18M05 16T05 20J06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nagasaki, Ikumitsu Determination of compact Lie groups with the Borsuk-Ulam property. (English) Zbl 1505.55004 Topology Appl. 319, Article ID 108216, 15 p. (2022). Reviewer: Thomas J. Bartsch (Gießen) MSC: 55M20 57S15 55S35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gvirtz, Damián; Loughran, Daniel; Nakahara, Masahiro Quantitative arithmetic of diagonal degree 2 \(K3\) surfaces. (English) Zbl 1507.14035 Math. Ann. 384, No. 1-2, 135-209 (2022). Reviewer: Masato Kuwata (Tokyo) MSC: 14G12 14G05 14F22 14J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Mitankin, Vladimir; Salgado, Cecília Rational points on del Pezzo surfaces of degree four. (English) Zbl 1509.14053 Int. J. Number Theory 18, No. 9, 2099-2127 (2022). Reviewer: Rosa Winter (London) MSC: 14G12 11G35 11D09 14D10 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lőrincz, András C.; Raicu, Claudiu Local Euler obstructions for determinantal varieties. (English) Zbl 1489.14059 Topology Appl. 313, Article ID 107984, 21 p. (2022). MSC: 14M12 13A50 14F10 14F40 32S60 55N33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cavicchioli, Alberto; Hegenbarth, Friedrich; Spaggiari, Fulvia Fundamental class, Poincaré duality and finite oriented \(\mathrm{FC}_4\)-complexes. (English) Zbl 1491.57022 Forum Math. 34, No. 3, 627-643 (2022). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 57N65 57R67 57Q10 57P10 × Cite Format Result Cite Review PDF Full Text: DOI
Ieronymou, Evis Evaluation of Brauer elements over local fields. (English) Zbl 1502.11074 Math. Ann. 382, No. 1-2, 239-254 (2022). MSC: 11G35 14F22 14J28 14G12 11G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berg, Jennifer; Nakahara, Masahiro Rational points on conic bundles over elliptic curves. (English) Zbl 1493.14041 Math. Z. 300, No. 3, 2429-2449 (2022). MSC: 14G12 11G05 14F22 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ganguly, Jyotirmoy; Joshi, Rohit Stiefel Whitney classes for real representations of \(\mathrm{GL}_2(\mathbb{F}_q)\). (English) Zbl 1547.20157 Int. J. Math. 33, No. 1, Article ID 2250010, 22 p. (2022). MSC: 20G05 55R40 20J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, T.-Y. The Tate-Shafarevich groups of multinorm-one tori. (English) Zbl 1524.11127 J. Pure Appl. Algebra 226, No. 7, Article ID 106906, 25 p. (2022). MSC: 11G35 11R34 12G05 14G12 14G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hashimoto, Sachi; Honigs, Katrina; Lamarche, Alicia; Vogt, Isabel A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold. (English) Zbl 1486.14032 Res. Number Theory 8, No. 1, Paper No. 12, 23 p. (2022). Reviewer: Dino Festi (Milan) MSC: 14G12 14F22 11G35 14G05 14J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cigoli, A. S.; Mantovani, S.; Metere, G.; Vitale, E. M. Fibred-categorical obstruction theory. (English) Zbl 1490.18009 J. Algebra 593, 105-141 (2022). Reviewer: Ioan Pop (Iaşi) MSC: 18D30 18E13 18E35 18G45 18G50 16E40 20J06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kneser, Martin Rehmann, Ulf (ed.); Tschinkel, Yuri (ed.) [Parimala, Raman; Scharlau, Rudolf; Ziegler, Günter M.] Collected works. Edited by Ulf Rehmann and Yuri Tschinkel. (English) Zbl 1504.11004 Contemporary Mathematicians. Cham: Birkhäuser (ISBN 978-3-030-81624-7/hbk; 978-3-030-81625-4/ebook). x, 749 p., C1 (2022). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11-03 01A75 11Exx 20Gxx 14G12 06Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Antieau, Benjamin; Williams, Ben The topological period-index conjecture. (English) Zbl 1510.55012 Math. Res. Lett. 28, No. 5, 1307-1317 (2021). Reviewer: Do Ngoc Diep (Hanoi) MSC: 55S35 14F22 19L50 57R19 55R40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Roushon, S. K. A certain structure of Artin groups and the isomorphism conjecture. (English) Zbl 1485.19003 Can. J. Math. 73, No. 4, 1153-1170 (2021); erratum ibid. 74, No. 2, 602 (2022); corrigendum ibid. 76, No. 2, 729-730 (2024). MSC: 19B99 19G24 20F36 57R67 57N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schreve, Kevin Properly discontinuous actions versus uniform embeddings. (English) Zbl 07476306 Groups Geom. Dyn. 15, No. 3, 1015-1039 (2021). MSC: 20F65 20F69 57S30 57M07 20F67 57M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huebschmann, Johannes On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras. (English) Zbl 1548.17001 J. Geom. Mech. 13, No. 3, 385-402 (2021). Reviewer: Timothy Porter (Llandegfan) MSC: 17-03 17B55 01A60 17B66 18G45 12G05 12H05 20J05 53-03 53D17 55Q15 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Izquierdo, Diego; Lucchini Arteche, Giancarlo Local-global principles for homogeneous spaces over some two-dimensional geometric global fields. (English) Zbl 1501.11054 J. Reine Angew. Math. 781, 165-186 (2021). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11E72 14G25 14M17 12G05 14F22 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avvakumov, Sergey; Kudrya, Sergey Vanishing of all equivariant obstructions and the mapping degree. (English) Zbl 1478.55001 Discrete Comput. Geom. 66, No. 3, 1202-1216 (2021). Reviewer: Daciberg Lima Gonçalves (São Paulo) MSC: 55M25 55M35 55S91 55R80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nicholson, John On CW-complexes over groups with periodic cohomology. (English) Zbl 1478.57018 Trans. Am. Math. Soc. 374, No. 9, 6531-6557 (2021). Reviewer: Stephan Rosebrock (Karlsruhe) MSC: 57K20 20C05 57P10 57Q12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borovoi, Mikhail; Semenov, Nikita; Zhykhovich, Maksim Hasse principle for Rost motives. (English) Zbl 1467.14061 Int. Math. Res. Not. 2021, No. 6, 4231-4254 (2021). MSC: 14F42 14G12 11E12 14C15 19E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Qixiao Brauer class over the Picard scheme of totally degenerate stable curves. (English) Zbl 1471.14046 Math. Z. 298, No. 3-4, 1641-1652 (2021). Reviewer: Uzi Vishne (Ramat Gan) MSC: 14F22 14C22 16K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Valloni, Domenico Complex multiplication and Brauer groups of \(K3\) surfaces. (English) Zbl 1469.14082 Adv. Math. 385, Article ID 107772, 54 p. (2021). Reviewer: Evis Ieronymou (Nicosia) MSC: 14J28 14G12 14F22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pitsch, Wolfgang; Scherer, Jérôme Realizing doubles: a conjugation zoo. (English) Zbl 1464.55017 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 2, 509-524 (2021). Reviewer: Jordan Williamson (Praha) MSC: 55P91 57S17 55S10 55S35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Sheng Integral points on twisted Markoff surfaces. (English) Zbl 1468.11149 J. Number Theory 220, 212-234 (2021). MSC: 11G35 11D25 14F22 14G12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rome, Nick Weak approximation for certain quadric surface bundles. arXiv:2110.03793 Preprint, arXiv:2110.03793 [math.AG] (2021). MSC: 14G12 14F22 11R44 × Cite Format Result Cite Full Text: arXiv
Baldi, Gregorio; Grossi, Giada Finite descent obstruction for Hilbert modular varieties. (English) Zbl 1469.11104 Can. Math. Bull. 64, No. 2, 452-473 (2021). MSC: 11F41 11G35 14G35 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colliot-Thélène, Jean-Louis; Wei, Dasheng; Xu, Fei Brauer-Manin obstruction for Markoff surfaces. (English) Zbl 1478.11091 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 1257-1313 (2020). Reviewer: B. Z. Moroz (Bonn) MSC: 11G35 11D25 14F22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Yang; Huang, Zhizhong Arithmetic purity of strong approximation for semi-simple simply connected groups. (English) Zbl 1484.11145 Compos. Math. 156, No. 12, 2628-2649 (2020). Reviewer: David McKinnon (Waterloo) MSC: 11G35 11N35 20G15 14G05 20G30 14L15 14G12 20G35 11N36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kupers, Alexander; Randal-Williams, Oscar The cohomology of Torelli groups is algebraic. (English) Zbl 1461.57016 Forum Math. Sigma 8, Paper No. e64, 52 p. (2020). Reviewer: Daniel Juan Pineda (Michoacán) MSC: 57R40 22E46 55S35 55U35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bright, Martin; Loughran, Daniel Brauer-Manin obstruction for Erdős-Straus surfaces. (English) Zbl 1459.14011 Bull. Lond. Math. Soc. 52, No. 4, 746-761 (2020). MSC: 14G12 11D25 11D68 14F22 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cao, Yang Invariant Brauer subgroup and iterated descent obstruction. (Sous-groupe de Brauer invariant et obstruction de descente itérée.) (French. English summary) Zbl 1469.11216 Algebra Number Theory 14, No. 8, 2151-2183 (2020); corrigendum ibid. 17, No. 1, 261-266 (2023). MSC: 11G35 14G05 20G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cavicchioli, Alberto; Hegenbarth, Friedrich; Spaggiari, Fulvia Four-dimensional complexes with fundamental class. (English) Zbl 1454.57015 Mediterr. J. Math. 17, No. 6, Paper No. 175, 15 p. (2020). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 57N65 57R67 57Q10 57P10 × Cite Format Result Cite Review PDF Full Text: DOI
Dokuchaev, Mikhailo; Khrypchenko, Mykola; Makuta, Mayumi The third partial cohomology group and existence of extensions of semilattices of groups by groups. (English) Zbl 1530.20173 Forum Math. 32, No. 5, 1297-1313 (2020). MSC: 20J06 20M18 20M30 20M50 18G90 16S35 16W22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loughran, Daniel; Takloo-Bighash, Ramin; Tanimoto, Sho Zero-loci of Brauer group elements on semi-simple algebraic groups. (English) Zbl 1454.14063 J. Inst. Math. Jussieu 19, No. 5, 1467-1507 (2020). MSC: 14G05 11D45 14F22 11F72 14G12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gu, Xing The topological period-index problem over \(8\)-complexes. II. (English) Zbl 1448.55021 Proc. Am. Math. Soc. 148, No. 10, 4531-4545 (2020). Reviewer: Do Ngoc Diep (Hanoi) MSC: 55S35 14F22 55N15 55R20 55S45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Massey, David B. Characteristic cycles and the relative local Euler obstruction. (English) Zbl 1442.32014 Castro-Jiménez, Francisco-Jesús (ed.) et al., A panorama of singularities. A panorama on singular varieties. Conference to celebrate Lê Dũng Tráng’s 70th birthday, University of Seville, IMUS, Spain, February 7–10, 2017. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 742, 137-156 (2020). MSC: 32B15 32C35 32C18 32B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Riman, Manar Vanishing of the Brauer group of a del Pezzo surface of degree 4. (English) Zbl 1453.14073 J. Number Theory 214, 348-359 (2020). MSC: 14G12 14F22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pridham, Jonathan P. Nonabelian reciprocity laws and higher Brauer-Manin obstructions. (English) Zbl 1454.14066 Algebr. Geom. Topol. 20, No. 2, 699-756 (2020). MSC: 14G12 11D99 14F35 14F20 55Q05 55S35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Muro, Fernando Enhanced \(A_{\infty}\)-obstruction theory. (English) Zbl 1457.18016 J. Homotopy Relat. Struct. 15, No. 1, 61-112 (2020). Reviewer: Ahmet A. Khusainov (Komsomolsk-om-Amur) MSC: 18G40 55S35 16E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davis, Rachel; Pries, Rachel Cohomology groups of Fermat curves via ray class fields of cyclotomic fields. (English) Zbl 1448.11202 J. Algebra 554, 78-105 (2020). MSC: 11R34 11D41 11R18 11R37 11Y40 13A50 14F20 55S35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Macedo, André The Hasse norm principle for \(A_n\)-extensions. (English) Zbl 1442.14086 J. Number Theory 211, 500-512 (2020). MSC: 14G12 14G05 11E72 11R37 20D06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mitankin, Vladimir Integral points on generalised affine Châtelet surfaces. (English) Zbl 1486.11050 Bull. Sci. Math. 159, Article ID 102830, 20 p. (2020). Reviewer: David McKinnon (Waterloo) MSC: 11D57 14G05 11G35 11R29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link