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 14J20 14J26 14M20 11G35 20G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Seoyoung; Schindler, Damaris; Sivaraman, Jyothsnaa On Markoff type surfaces over number fields and the arithmetic of Markoff numbers. (English) Zbl 07926453 Bucur, Alina (ed.) et al., Research directions in number theory. Women in numbers V. Proceedings of the WIN5 workshop. Banff, Alberta, Canada, November 15–20, 2020. Cham: Springer. Assoc. Women Math. Ser. 33, 271-293 (2024). MSC: 11-XX × Cite Format Result Cite Review PDF Full Text: DOI
Auel, Asher; Suresh, V. Failure of the local-global principle for isotropy of quadratic forms over function fields. (English) Zbl 07918114 Algebra Number Theory 18, No. 8, 1497-1513 (2024). Reviewer: Stefan Gille (Edmonton) MSC: 11E04 11R58 12G05 14G12 14H52 14J32 14J40 19D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mehmeti, Vlerë An analytic viewpoint on the Hasse principle. (Un point de vue analytique sur le principe de Hasse.) (English. French summary) Zbl 07912279 J. Éc. Polytech., Math. 11, 875-908 (2024). MSC: 14G22 11E08 12J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tan, Nguyen Duy; Tho, Nguyen Xuan An extension of Bremner and Macleod’s theorem. (English) Zbl 07903779 Rocky Mt. J. Math. 54, No. 3, 885-893 (2024). MSC: 14G05 14G12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Boughattas, Elyes Purity of strong approximation on the function field of a complex algebraic curve. (Pureté de l’approximation forte sur le corps des fonctions d’une courbe algébrique complexe.) (French. English summary) Zbl 07901763 Manuscr. Math. 175, No. 1-2, 679-706 (2024). MSC: 14G12 14H05 14M10 14M17 14C05 12G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 07887267 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
Kurianovich, E. A.; Mikhailov, A. I.; Volovich, I. V. On the theory of relativistic Brownian motion. (English) Zbl 1543.81151 \(p\)-Adic Numbers Ultrametric Anal. Appl. 16, No. 2, 113-127 (2024). MSC: 81S40 60K35 81R20 28C20 14G12 28A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Al-Assad, Hafez A generalisation of Legendre’s three-square theorem. (Russian. English summary) Zbl 1541.11036 Chebyshevskiĭ Sb. 25, No. 1(92), 127-137 (2024). MSC: 11E25 14G25 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Demeio, Julian; Streeter, Sam; Winter, Rosa Weak weak approximation and the Hilbert property for degree 2 del Pezzo surfaces. (English) Zbl 07862386 Proc. Lond. Math. Soc. (3) 128, No. 5, Article ID e12601, 28 p. (2024). MSC: 14G05 14G12 14G25 14G27 11G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Mitankin, Vladimir; Nakahara, Masahiro; Streeter, Sam Semi-integral Brauer-Manin obstruction and quadric orbifold pairs. (English) Zbl 07853758 Trans. Am. Math. Soc. 377, No. 6, 4435-4480 (2024). MSC: 14G12 14G05 11G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koymans, P.; Rome, N. Weak approximation on the norm one torus. (English) Zbl 07852902 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 × 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
Frei, Sarah; Ji, Lena A threefold violating a local-to-global principle for rationality. (English) Zbl 07837206 Res. Number Theory 10, No. 2, Paper No. 39, 9 p. (2024). MSC: 14J30 14E08 14G12 14J20 11G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schlotter, Ildikó Recognizing when a preference system is close to admitting a master list. (English) Zbl 1535.81089 Theor. Comput. Sci. 994, Article ID 114445, 17 p. (2024). MSC: 81P68 81S22 81P65 68Q27 14G12 91B68 05C69 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Northey, Matthew; Vishe, Pankaj On the Hasse principle for complete intersections. (English) Zbl 07825740 Compos. Math. 160, No. 4, 771-835 (2024). MSC: 11D72 11P55 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Koymans, Peter; Rome, Nick A note on the Hasse norm principle. (English) Zbl 1533.14019 Bull. Lond. Math. Soc. 56, No. 3, 1004-1013 (2024). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 14G12 11R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Harpaz, Yonatan; Wittenberg, Olivier Supersolvable descent for rational points. (English) Zbl 07810350 Algebra Number Theory 18, No. 4, 787-814 (2024). MSC: 11-XX 11G35 14G05 14G12 12F12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 OA License
Ottem, John Christian; Suzuki, Fumiaki [Wittenberg, Olivier] An \({\mathcal{O}} \)-acyclic variety of even index. With an Appendix by Olivier Wittenberg. (English) Zbl 1542.14007 Math. Ann. 388, No. 3, 3025-3052 (2024). MSC: 14C25 14C30 14G12 14J28 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 OA License
Nguyễn, Mạnh Linh On the homogeneous spaces of Borovoi-Kunyavskii. (Sur les espaces homogènes de Borovoi-Kunyavskii.) (French. English summary) Zbl 07805422 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
Wu, Shu-Min; Teng, Xiao-Wei; Li, Jin-Xuan; Li, Si-Han; Liu, Tong-Hua; Wang, Jie-Ci Genuinely accessible and inaccessible entanglement in Schwarzschild black hole. (English) Zbl 1540.81032 Phys. Lett., B 848, Article ID 138334, 6 p. (2024). MSC: 81P40 70F10 81R25 83F05 14G12 83C57 81P45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Chen, Chi-Fang; Brandão, Fernando G. S. L. Average-case speedup for product formulas. (English) Zbl 1540.81036 Commun. Math. Phys. 405, No. 2, Paper No. 32, 72 p. (2024). MSC: 81P68 16S35 14G12 81P65 68Q12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Figari, Rodolfo; Saberbaghi, Hamidreza; Teta, Alessandro On a family of finitely many point interaction Hamiltonians free of ultraviolet pathologies. (English) Zbl 1539.81117 J. Phys. A, Math. Theor. 57, No. 5, Article ID 055303, 24 p. (2024). MSC: 81U10 81V19 70H05 47A10 14G12 81V72 37E20 35G15 81V70 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Flores, Daniel A quantitative Hasse principle for weighted quartic forms. (English) Zbl 07796306 Mathematika 70, No. 1, Article ID e12236, 24 p. (2024). Reviewer: Wataru Takeda (Tōkyō) MSC: 11D45 11D72 11P55 11E76 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clark, Pete L.; Pollack, Paul; Rouse, Jeremy; Thompson, Katherine Densities of integer sets represented by quadratic forms. (English) Zbl 1544.11036 J. Number Theory 256, 290-328 (2024). Reviewer: Meinhard Peters (Münster) MSC: 11E12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Colliot-Thélène, Jean-Louis About arithmetic of intersections of two quadrics. (Retour sur l’arithmétique des intersections de deux quadriques.) (French. English summary) Zbl 1539.14044 J. Reine Angew. Math. 806, 147-185 (2024). Reviewer: G. K. Sankaran (Bath) MSC: 14G05 11E08 11D72 11E12 14G12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Creutz, Brendan Weak approximation versus the Hasse principle for subvarieties of abelian varieties. (English) Zbl 1537.14038 Math. Z. 306, No. 1, Paper No. 11, 7 p. (2024). MSC: 14G12 11G10 11G35 14K12 × 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
Boughattas, Elyes Unirationality and \(R\)-equivalence for conic bundles over quasi-finite fields. arXiv:2410.19686 Preprint, arXiv:2410.19686 [math.AG] (2024). MSC: 14M20 14E08 14D10 14G12 14G05 14D06 14H30 × 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 OA License
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
Rüd, Thomas; Bu, Alan A Projective Twist on the Hasse Norm Theorem. arXiv:2410.11159 Preprint, arXiv:2410.11159 [math.NT] (2024). MSC: 11R34 14G12 × Cite Format Result Cite Full Text: arXiv OA License
Creutz, Brendan; Viray, Bianca Quartic del Pezzo surfaces without quadratic points. arXiv:2408.08436 Preprint, arXiv:2408.08436 [math.NT] (2024). MSC: 14G05 14G12 × Cite Format Result Cite Full Text: arXiv OA License
Morgan, Adam; Skorobogatov, Alexei N. Hasse principle for intersections of two quadrics via Kummer surfaces. arXiv:2407.16459 Preprint, arXiv:2407.16459 [math.NT] (2024). MSC: 14G12 11D72 × Cite Format Result Cite Full Text: arXiv OA License
Browning, Tim; Wilsch, Florian Integral points on cubic surfaces: heuristics and numerics. arXiv:2407.16315 Preprint, arXiv:2407.16315 [math.NT] (2024). MSC: 11G35 11D25 11G50 14G12 × Cite Format Result Cite Full Text: arXiv OA License
Moerman, Boaz Generalized Campana points and adelic approximation on toric varieties. arXiv:2407.03048 Preprint, arXiv:2407.03048 [math.AG] (2024). MSC: 14G12 14M25 14G05 11G35 × Cite Format Result Cite Full Text: arXiv OA License
Shaw, Harry C. Diagonal del Pezzo of degree 2 with a Brauer-Manin obstruction. arXiv:2405.10693 Preprint, arXiv:2405.10693 [math.AG] (2024). MSC: 14G12 14G05 11N37 × Cite Format Result Cite Full Text: arXiv OA License
Boughattas, Elyes; Neftin, Danny The Grunwald problem and homogeneous spaces with non-solvable stabilisers. arXiv:2404.09874 Preprint, arXiv:2404.09874 [math.NT] (2024). MSC: 12F12 14G12 14E08 × Cite Format Result Cite Full Text: arXiv OA License
Tashiro, Hirotaka On Hasse norm principle for 3-manifolds in arithmetic topology. arXiv:2404.06464 Preprint, arXiv:2404.06464 [math.GT] (2024). MSC: 57M12 14G12 57M10 11R37 × 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
Rickards, James; Stange, Katherine E. Reciprocity obstructions in semigroup orbits in SL(2, Z). arXiv:2401.01860 Preprint, arXiv:2401.01860 [math.NT] (2024). MSC: 11A15 14G12 11-04 11A55 × Cite Format Result Cite Full Text: arXiv OA License
Gamburd, Alexander Arithmetic and dynamics on varieties of Markoff type. (English) Zbl 07823043 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1800-1836 (2023). MSC: 14G12 11N36 11D45 37P55 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kordyukov, Yu. A.; Taimanov, I. A. Quasi-classical approximation of monopole harmonics. (English. Russian original) Zbl 07820498 Math. Notes 114, No. 6, 1277-1288 (2023); translation from Mat. Zametki 114, No. 6, 848-862 (2023). MSC: 81Q20 14G12 78A30 70H03 81V60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brüdern, Jörg; Wooley, Trevor D. Pairs of diagonal quartic forms: the asymptotic formulae. (English) Zbl 1536.11061 Int. Math. Res. Not. 2023, No. 18, 15928-15975 (2023). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11D45 11D72 14G12 11E76 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bergold, Paul; Tronci, Cesare Madelung transform and variational asymptotics in Born-Oppenheimer molecular dynamics. (English) Zbl 1536.81260 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14072, 231-241 (2023). MSC: 81V55 14G12 81Q20 26E70 70H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liang, Yongqi Noninvariance of weak approximation properties under extension of the ground field. (English) Zbl 07787848 Mich. Math. J. 73, No. 4, 675-692 (2023). MSC: 11G35 14G12 14G05 14G25 14J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Flegel, A. V.; Frolov, M. V. On the adiabatic approximation for the laser-dressed atom. (English) Zbl 1536.81257 J. Phys. A, Math. Theor. 56, No. 50, Article ID 505304, 15 p. (2023). MSC: 81V45 70H11 14G12 33E15 65M80 60J35 41A29 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Han Arithmetic of Châtelet surfaces under extensions of base fields. (English) Zbl 07784976 Ramanujan J. 62, No. 4, 997-1010 (2023). MSC: 11G35 14G12 14G25 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novaes, Marcel Time delay statistics for chaotic cavities with absorption. (English) Zbl 1535.81129 J. Stat. Phys. 190, No. 11, Paper No. 182, 13 p. (2023). MSC: 81Q50 81Q20 14G12 93C43 35P05 62B10 60J70 81R40 30B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brooks, Morris; Seiringer, Robert The Fröhlich polaron at strong coupling. I: The quantum correction to the classical energy. (English) Zbl 1534.81173 Commun. Math. Phys. 404, No. 1, 287-337 (2023). MSC: 81V05 81Q15 35P15 14G12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Elkamash, I. S.; Abdelhamid, Hamdi M.; Shalaby, Abouzeid M. Entire hypergeometric approximants for the ground state energy perturbation series of the quartic, sextic and octic anharmonic oscillators. (English) Zbl 1533.81044 Ann. Phys. 457, Article ID 169427, 13 p. (2023). MSC: 81Q15 65B10 33C90 40A05 14G12 32D15 35P15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 OA License
Creutz, Brendan; Srivastava, Duttatrey Nath Brauer-Manin obstructions on hyperelliptic curves. (English) Zbl 1527.14053 Adv. Math. 431, Article ID 109238, 28 p. (2023). MSC: 14G12 11G30 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Watson, Lori D. Hasse principle violations in twist families of superelliptic curves. (English) Zbl 07739855 Int. J. Number Theory 19, No. 9, 2051-2060 (2023). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 11D41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Creutz, Brendan; Viray, Bianca Quadratic points on intersections of two quadrics. (English) Zbl 07734827 Algebra Number Theory 17, No. 8, 1411-1452 (2023). Reviewer: Mohammad Sadek (New Cairo) MSC: 11G35 11D09 14G05 14G12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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
Hu, Guang; Liang, Yongqi Arithmetic of Châtelet surface bundles revisited. (English) Zbl 1525.14028 Forum Math. 35, No. 4, 883-900 (2023). Reviewer: Felipe Gambardella (Paris) MSC: 14G12 11G35 14G05 14J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Demeio, Julian; Streeter, Sam Weak approximation for del Pezzo surfaces of low degree. (English) Zbl 1537.14039 Int. Math. Res. Not. 2023, No. 13, 11549-11576 (2023). MSC: 14G12 11G35 14J26 14J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Y. Z.; Wang, S. T. CNOK: a C++ Glauber model code for single-nucleon knockout reactions. (English) Zbl 1525.81039 Comput. Phys. Commun. 288, Article ID 108726, 16 p. (2023). MSC: 81U90 81V35 62F40 47A10 14G12 81U30 78A45 81V55 81-08 × Cite Format Result Cite Review PDF Full Text: DOI
Guhan, Jayanth Local-global principle for projective homogeneous spaces of unitary groups. (English) Zbl 1516.11047 J. Algebra 630, 175-197 (2023). MSC: 11E72 16K20 11E04 14H05 11E39 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Han Non-invariance of the Hasse principle with Brauer-Manin obstruction. (English) Zbl 1529.11083 Manuscr. Math. 171, No. 3-4, 457-471 (2023). Reviewer: David McKinnon (Waterloo) MSC: 11G35 14G12 14G25 14G05 × Cite Format Result Cite Review PDF Full Text: DOI
Balestrieri, Francesca; Rome, Nick Average Bateman-Horn for Kummer polynomials. (English) Zbl 1525.11103 Acta Arith. 207, No. 4, 315-350 (2023). MSC: 11N32 11N36 11N37 11P55 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Liang, Yongqi Compatibility of weak approximation for zero-cycles on products of varieties. (English) Zbl 1524.14052 Sci. China, Math. 66, No. 4, 665-678 (2023). MSC: 14G12 11G35 14C25 × 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
Brüdern, Jörg; Wooley, Trevor D. Pairs of diagonal quartic forms: the non-singular Hasse principle. (English) Zbl 1525.11037 Q. J. Math. 74, No. 1, 101-128 (2023). Reviewer: B. Z. Moroz (Bonn) MSC: 11D72 14G12 11P55 11L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Santens, Tim Diagonal quartic surfaces with a Brauer-Manin obstruction. (English) Zbl 1520.14051 Compos. Math. 159, No. 4, 659-710 (2023). Reviewer: Efthymios Sofos (Glasgow) MSC: 14G12 11D25 11N37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Platonov, Vladimir; Rapinchuk, Andrei; Rapinchuk, Igor Algebraic groups and number theory. Volume 1. 2nd revised edition of the book originally published in one volume. (English) Zbl 1520.20002 Cambridge Studies in Advanced Mathematics 205. Cambridge: Cambridge University Press (ISBN 978-0-521-11361-8/hbk; 978-1-139-01775-6/ebook). xvi, 362 p. (2023). MSC: 20-02 11-02 20G30 11E72 11Rxx × 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 OA License
Browning, Tim; Le Boudec, Pierre; Sawin, Will The Hasse principle for random Fano hypersurfaces. (English) Zbl 1529.11053 Ann. Math. (2) 197, No. 3, 1115-1203 (2023). Reviewer: David McKinnon (Waterloo) MSC: 11D45 11G50 11P21 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 OA License
Sivatski, Alexander S. Nonstandard quadratic forms over rational function fields. (English) Zbl 1514.11026 J. Pure Appl. Algebra 227, No. 5, Article ID 107310, 17 p. (2023). Reviewer: Adam Chapman (Tel Hai) MSC: 11E04 11E81 × 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
Sardari, Naser Talebizadeh; Zargar, Masoud Optimal strong approximation for quadrics over \(\mathbb{F}_q [t]\). (English) Zbl 1517.11069 Adv. Math. 413, Article ID 108852, 62 p. (2023). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11G35 11E12 11P55 11R58 14G12 05C12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoshi, Akinari; Kanai, Kazuki; Yamasaki, Aiichi Norm one tori and Hasse norm principle. II: Degree 12 case. (English) Zbl 1515.11029 J. Number Theory 244, 84-110 (2023). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11E72 12F20 13A50 14E08 20C10 20G15 × 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
Wu, Han On genus one curves violating the local-global principle. (English) Zbl 1496.14030 J. Number Theory 242, 235-243 (2023). Reviewer: Ilker Inam (Bilecik) MSC: 14H45 11G05 14G12 14G05 × Cite Format Result Cite Review PDF Full Text: DOI 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
Loughran, Daniel; Sankaran, Gregory Rationality and arithmetic of the moduli of abelian varieties. arXiv:2310.01244 Preprint, arXiv:2310.01244 [math.AG] (2023). MSC: 14K10 14K15 14H40 14D23 14M20 14G12 11G10 × 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
Ishitsuka, Yasuhiro; Kanamura, Yoshinori On the proportions of soluble forms in some families of locally soluble binary quartic forms. arXiv:2306.15233 Preprint, arXiv:2306.15233 [math.NT] (2023). MSC: 14G05 11G05 14H25 14G12 11N45 × Cite Format Result Cite Full Text: arXiv OA License
Linh, Nguyen Manh On the descent conjecture for rational points and zero-cycles. arXiv:2305.13228 Preprint, arXiv:2305.13228 [math.AG] (2023). MSC: 11R34 14G05 14G12 × Cite Format Result Cite Full Text: arXiv OA License
Molyakov, Alexander Le principe de Hasse pour les intersections de deux quadriques dans \(\mathbb{P}^7\). arXiv:2305.00313 Preprint, arXiv:2305.00313 [math.AG] (2023). MSC: 14G12 14G05 14G20 14G25 × Cite Format Result Cite Full Text: arXiv OA License
Philip, Séverin On the semi-stability degree for abelian varieties. (English) Zbl 07740267 Bull. Lond. Math. Soc. 54, No. 6, 2174-2187 (2022). Reviewer: Sungkon Chang (Savannah) MSC: 11G10 14G25 14G12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 OA License
Rivera, Carlos; Viray, Bianca Persistence of the Brauer-Manin obstruction on cubic surfaces. (English) Zbl 1520.14050 Math. Res. Lett. 29, No. 6, 1881-1889 (2022). Reviewer: Nathan Grieve (Wolfville) MSC: 14G12 11G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chuluunbaatar, O.; Gusev, A. A.; Vinitsky, S. I.; Abrashkevich, A. G.; Wen, P. W.; Lin, C. J. KANTBP 3.1: a program for computing energy levels, reflection and transmission matrices, and corresponding wave functions in the coupled-channel and adiabatic approaches. (English) Zbl 1522.81679 Comput. Phys. Commun. 278, Article ID 108397, 14 p. (2022). MSC: 81U05 94A40 70F10 35P15 65M60 70H11 14G12 34L16 81Q37 × Cite Format Result Cite Review PDF Full Text: DOI
Salvat, Francesc; Llosa, Josep; Lallena, Antonio M.; Almansa, Julio ECCPA: calculation of classical and quantum cross sections for elastic collisions of charged particles with atoms. (English) Zbl 1522.81683 Comput. Phys. Commun. 277, Article ID 108368, 22 p. (2022). MSC: 81U05 78A45 70F35 81R20 14G12 81U30 78A35 81R25 81Q05 81-01 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Li, Xiaojian; Reiter, Jay; Tang, Shiang; Wang, Napoleon; Yi, Jin \(p\)-adic incomplete gamma functions and Artin-Hasse-type series. (English) Zbl 1528.33025 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 4, 335-343 (2022). MSC: 33E50 33B20 05A05 11S80 × 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
Dvornicich, Roberto; Paladino, Laura Local-global questions for divisibility in commutative algebraic groups. (English) Zbl 1509.11045 Eur. J. Math. 8, Suppl. 2, S599-S628 (2022). Reviewer: Matteo Verzobio (Pisa) MSC: 11G05 11G07 11G10 11E72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License