Frei, Christopher; Loughran, Daniel; Newton, Rachel [Harpaz, Yonatan; Wittenberg, Olivier] Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg). (English) Zbl 07523046 Comment. Math. Helv. 97, No. 1, 133-181 (2022). MSC: 11R37 11R45 43A70 14G05 PDF BibTeX XML Cite \textit{C. Frei} et al., Comment. Math. Helv. 97, No. 1, 133--181 (2022; Zbl 07523046) Full Text: DOI OpenURL
Ieronymou, Evis Evaluation of Brauer elements over local fields. (English) Zbl 07522778 Math. Ann. 382, No. 1-2, 239-254 (2022). MSC: 11G05 14F22 14G12 14J28 PDF BibTeX XML Cite \textit{E. Ieronymou}, Math. Ann. 382, No. 1--2, 239--254 (2022; Zbl 07522778) Full Text: DOI OpenURL
Berg, Jennifer; Nakahara, Masahiro Rational points on conic bundles over elliptic curves. (English) Zbl 07489515 Math. Z. 300, No. 3, 2429-2449 (2022). MSC: 14G05 14F22 11G05 PDF BibTeX XML Cite \textit{J. Berg} and \textit{M. Nakahara}, Math. Z. 300, No. 3, 2429--2449 (2022; Zbl 07489515) Full Text: DOI arXiv OpenURL
Cao, Yang; Huang, Zhizhong Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics. (English) Zbl 07483910 Adv. Math. 398, Article ID 108236, 53 p. (2022). MSC: 14G05 14G12 11D45 11N35 PDF BibTeX XML Cite \textit{Y. Cao} and \textit{Z. Huang}, Adv. Math. 398, Article ID 108236, 53 p. (2022; Zbl 07483910) 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
Hashimoto, Sachi; Honigs, Katrina; Lamarche, Alicia; Vogt, Isabel A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold. (English) Zbl 07463882 Res. Number Theory 8, No. 1, Paper No. 12, 23 p. (2022). Reviewer: Dino Festi (Milan) MSC: 14G12 14F22 11G35 14G05 14J28 PDF BibTeX XML Cite \textit{S. Hashimoto} et al., Res. Number Theory 8, No. 1, Paper No. 12, 23 p. (2022; Zbl 07463882) Full Text: DOI arXiv OpenURL
Gomez, Ignacio S.; Santos, Esdras S.; Abla, Olavo Morse potential in relativistic contexts from generalized momentum operator: Schottky anomalies, Pekeris approximation and mapping. (English) Zbl 07501675 Mod. Phys. Lett. A 36, No. 20, Article ID 2150140, 20 p. (2021). MSC: 81Q05 81R20 14G12 34C15 53D20 58E05 81V55 81R25 80A10 34L40 PDF BibTeX XML Cite \textit{I. S. Gomez} et al., Mod. Phys. Lett. A 36, No. 20, Article ID 2150140, 20 p. (2021; Zbl 07501675) Full Text: DOI OpenURL
Loughran, Daniel; Mitankin, Vladimir Integral Hasse principle and strong approximation for Markoff surfaces. (English) Zbl 1485.11106 Int. Math. Res. Not. 2021, No. 18, 14086-14122 (2021). Reviewer: Paul Voutier (London) MSC: 11G25 11D25 14G12 PDF BibTeX XML Cite \textit{D. Loughran} and \textit{V. Mitankin}, Int. Math. Res. Not. 2021, No. 18, 14086--14122 (2021; Zbl 1485.11106) 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
Browning, Tim Cubic forms and the circle method. (English) Zbl 07413427 Progress in Mathematics 343. Cham: Birkhäuser (ISBN 978-3-030-86871-0/hbk; 978-3-030-86872-7/ebook). xiv, 166 p. (2021). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11Dxx 11P55 11E76 PDF BibTeX XML Cite \textit{T. Browning}, Cubic forms and the circle method. Cham: Birkhäuser (2021; Zbl 07413427) Full Text: DOI OpenURL
Hirakawa, Yoshinosuke; Kanamura, Yoshinori How to calculate the proportion of everywhere locally soluble diagonal hypersurfaces. (English) Zbl 07410938 Int. J. Number Theory 17, No. 10, 2361-2377 (2021). MSC: 11D09 11D25 11D41 11D72 11E76 14G05 PDF BibTeX XML Cite \textit{Y. Hirakawa} and \textit{Y. Kanamura}, Int. J. Number Theory 17, No. 10, 2361--2377 (2021; Zbl 07410938) Full Text: DOI arXiv OpenURL
König, Joachim; Legrand, François Density results for specialization sets of Galois covers. (English) Zbl 1481.11110 J. Inst. Math. Jussieu 20, No. 5, 1455-1496 (2021). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R32 11G30 14E20 14G05 PDF BibTeX XML Cite \textit{J. König} and \textit{F. Legrand}, J. Inst. Math. Jussieu 20, No. 5, 1455--1496 (2021; Zbl 1481.11110) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Borovoi} et al., Int. Math. Res. Not. 2021, No. 6, 4231--4254 (2021; Zbl 1467.14061) Full Text: DOI arXiv OpenURL
Ieronymou, Evis The Brauer-Manin obstruction for zero-cycles on \(K3\) surfaces. (English) Zbl 1467.14063 Int. Math. Res. Not. 2021, No. 3, 2250-2260 (2021). MSC: 14G12 14J28 PDF BibTeX XML Cite \textit{E. Ieronymou}, Int. Math. Res. Not. 2021, No. 3, 2250--2260 (2021; Zbl 1467.14063) Full Text: DOI arXiv OpenURL
Benoist, Olivier; Wittenberg, Olivier The tight approximation property. (English) Zbl 1484.14053 J. Reine Angew. Math. 776, 151-200 (2021). MSC: 14G12 14P10 PDF BibTeX XML Cite \textit{O. Benoist} and \textit{O. Wittenberg}, J. Reine Angew. Math. 776, 151--200 (2021; Zbl 1484.14053) Full Text: DOI arXiv OpenURL
Bitan, Rony A.; Köhl, Ralf; Schoemann, Claudia The twisted forms of a semisimple group over an \(\mathbb{F}_q\)-curve. (English. French summary) Zbl 07359127 J. Théor. Nombres Bordx. 33, No. 1, 17-38 (2021). MSC: 11G20 11G45 11R29 PDF BibTeX XML Cite \textit{R. A. Bitan} et al., J. Théor. Nombres Bordx. 33, No. 1, 17--38 (2021; Zbl 07359127) Full Text: DOI arXiv OpenURL
Addington, Nicolas; Antieau, Benjamin; Honigs, Katrina; Frei, Sarah Rational points and derived equivalence. (English) Zbl 1477.14020 Compos. Math. 157, No. 5, 1036-1050 (2021). Reviewer: Evis Ieronymou (Nicosia) MSC: 14D20 14F08 14G05 14G12 14H40 14J28 14J42 PDF BibTeX XML Cite \textit{N. Addington} et al., Compos. Math. 157, No. 5, 1036--1050 (2021; Zbl 1477.14020) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{D. Valloni}, Adv. Math. 385, Article ID 107772, 54 p. (2021; Zbl 1469.14082) Full Text: DOI arXiv OpenURL
Fisher, Tom; Ho, Wei; Park, Jennifer Everywhere local solubility for hypersurfaces in products of projective spaces. (English) Zbl 1468.11150 Res. Number Theory 7, No. 1, Paper No. 6, 27 p. (2021). MSC: 11G35 14J45 11E12 11G25 14G05 PDF BibTeX XML Cite \textit{T. Fisher} et al., Res. Number Theory 7, No. 1, Paper No. 6, 27 p. (2021; Zbl 1468.11150) Full Text: DOI arXiv OpenURL
Chen, Sheng Integral points on twisted Markoff surfaces. (English) Zbl 1468.11149 J. Number Theory 220, 212-234 (2021). MSC: 11G35 11D25 14F22 14G12 PDF BibTeX XML Cite \textit{S. Chen}, J. Number Theory 220, 212--234 (2021; Zbl 1468.11149) Full Text: DOI arXiv OpenURL
Tian, Yisheng Obstructions to weak approximation for reductive groups over \(p\)-adic function fields. (English) Zbl 1464.11046 J. Number Theory 220, 128-162 (2021). MSC: 11E95 11G20 14G12 PDF BibTeX XML Cite \textit{Y. Tian}, J. Number Theory 220, 128--162 (2021; Zbl 1464.11046) Full Text: DOI arXiv OpenURL
Creutz, Brendan There are no transcendental Brauer-Manin obstructions on abelian varieties. (English) Zbl 1477.14039 Int. Math. Res. Not. 2020, No. 9, 2684-2697 (2020). MSC: 14G12 14K15 PDF BibTeX XML Cite \textit{B. Creutz}, Int. Math. Res. Not. 2020, No. 9, 2684--2697 (2020; Zbl 1477.14039) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 1257--1313 (2020; Zbl 1478.11091) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Y. Cao} and \textit{Z. Huang}, Compos. Math. 156, No. 12, 2628--2649 (2020; Zbl 1484.11145) Full Text: DOI arXiv OpenURL
Hirakawa, Yoshinosuke Counterexamples to the local-global principle associated with Swinnerton-Dyer’s cubic form. (English) Zbl 07297915 Rocky Mt. J. Math. 50, No. 6, 2097-2102 (2020). MSC: 11D57 11D41 11D72 11R18 PDF BibTeX XML Cite \textit{Y. Hirakawa}, Rocky Mt. J. Math. 50, No. 6, 2097--2102 (2020; Zbl 07297915) Full Text: DOI arXiv Euclid OpenURL
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 PDF BibTeX XML Cite \textit{M. Bright} and \textit{D. Loughran}, Bull. Lond. Math. Soc. 52, No. 4, 746--761 (2020; Zbl 1459.14011) Full Text: DOI arXiv OpenURL
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). MSC: 11G35 14G05 20G35 PDF BibTeX XML Cite \textit{Y. Cao}, Algebra Number Theory 14, No. 8, 2151--2183 (2020; Zbl 1469.11216) Full Text: DOI arXiv OpenURL
Bayer-Fluckiger, Eva; Parimala, Raman On unramified Brauer groups of torsors over tori. (English) Zbl 07261430 Doc. Math. 25, 1263-1284 (2020). MSC: 11G35 11R34 12G05 14G05 14G25 PDF BibTeX XML Cite \textit{E. Bayer-Fluckiger} and \textit{R. Parimala}, Doc. Math. 25, 1263--1284 (2020; Zbl 07261430) Full Text: DOI arXiv OpenURL
Liang, Yongqi Strong approximation for products of abelian varieties punctured at torsion points. (Approximation forte sur un produit de variétés abéliennes épointé en des points de torsion.) (French. English summary) Zbl 1470.11181 Proc. Am. Math. Soc. 148, No. 11, 4635-4642 (2020). MSC: 11G35 14G25 14G12 PDF BibTeX XML Cite \textit{Y. Liang}, Proc. Am. Math. Soc. 148, No. 11, 4635--4642 (2020; Zbl 1470.11181) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{D. Loughran} et al., J. Inst. Math. Jussieu 19, No. 5, 1467--1507 (2020; Zbl 1454.14063) Full Text: DOI arXiv OpenURL
Bondarewicz, Wojciech; Krasoń, Piotr On a reduction map for Drinfeld modules. (English) Zbl 1458.11096 Acta Arith. 195, No. 2, 109-129 (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 14G05 14G25 11J93 PDF BibTeX XML Cite \textit{W. Bondarewicz} and \textit{P. Krasoń}, Acta Arith. 195, No. 2, 109--129 (2020; Zbl 1458.11096) Full Text: DOI arXiv OpenURL
van Ittersum, Jan-Willem M. Quantitative results on Diophantine equations in many variables. (English) Zbl 1461.11053 Acta Arith. 194, No. 3, 219-240 (2020). MSC: 11D72 11D45 11P55 14G12 PDF BibTeX XML Cite \textit{J.-W. M. van Ittersum}, Acta Arith. 194, No. 3, 219--240 (2020; Zbl 1461.11053) Full Text: DOI arXiv OpenURL
Luca, Florian; Mihăilescu, Preda Small fields with large class groups. (English) Zbl 1458.11159 Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 113-118 (2020). Reviewer: Günter Lettl (Graz) MSC: 11R29 PDF BibTeX XML Cite \textit{F. Luca} and \textit{P. Mihăilescu}, in: Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4--7, 2017. Singapore: Springer. 113--118 (2020; Zbl 1458.11159) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Riman}, J. Number Theory 214, 348--359 (2020; Zbl 1453.14073) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{J. P. Pridham}, Algebr. Geom. Topol. 20, No. 2, 699--756 (2020; Zbl 1454.14066) Full Text: DOI arXiv OpenURL
Coray, Daniel Notes on geometry and arithmetic. Translated from the French by John Steinig and Constantin Manoil. (English) Zbl 1457.11001 Universitext. Cham: Springer (ISBN 978-3-030-43780-0/pbk; 978-3-030-43781-7/ebook). xii, 181 p. (2020). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 14-01 11Jxx 11Gxx 14Gxx PDF BibTeX XML Cite \textit{D. Coray}, Notes on geometry and arithmetic. Translated from the French by John Steinig and Constantin Manoil. Cham: Springer (2020; Zbl 1457.11001) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Macedo}, J. Number Theory 211, 500--512 (2020; Zbl 1442.14086) Full Text: DOI arXiv OpenURL
Mitankin, Vladimir Integral points on generalised affine Châtelet surfaces. (English) Zbl 07180674 Bull. Sci. Math. 159, Article ID 102830, 20 p. (2020). Reviewer: David McKinnon (Waterloo) MSC: 11D57 14G05 11G35 11R29 PDF BibTeX XML Cite \textit{V. Mitankin}, Bull. Sci. Math. 159, Article ID 102830, 20 p. (2020; Zbl 07180674) Full Text: DOI arXiv Link OpenURL
Rössler, Damian Strongly semistable sheaves and the Mordell-Lang conjecture over function fields. (English) Zbl 1445.14030 Math. Z. 294, No. 3-4, 1035-1049 (2020). MSC: 14F08 11G10 11G35 14G17 14G12 PDF BibTeX XML Cite \textit{D. Rössler}, Math. Z. 294, No. 3--4, 1035--1049 (2020; Zbl 1445.14030) Full Text: DOI arXiv OpenURL
Berg, Jennifer; Várilly-Alvarado, Anthony Odd order obstructions to the Hasse principle on general \(K3\) surfaces. (English) Zbl 1452.14019 Math. Comput. 89, No. 323, 1395-1416 (2020). MSC: 14G12 14F22 14G05 14J28 14J35 PDF BibTeX XML Cite \textit{J. Berg} and \textit{A. Várilly-Alvarado}, Math. Comput. 89, No. 323, 1395--1416 (2020; Zbl 1452.14019) Full Text: DOI arXiv OpenURL
Geisser, Thomas H. Hasse principles for étale motivic cohomology. (English) Zbl 1436.11074 Nagoya Math. J. 236, 63-83 (2019). MSC: 11G35 14G12 14F22 14F42 PDF BibTeX XML Cite \textit{T. H. Geisser}, Nagoya Math. J. 236, 63--83 (2019; Zbl 1436.11074) Full Text: DOI OpenURL
Rydin Myerson, Simon L. Systems of cubic forms in many variables. (English) Zbl 1443.11209 J. Reine Angew. Math. 757, 309-328 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11P55 11D45 11D72 11D75 11D25 14G05 PDF BibTeX XML Cite \textit{S. L. Rydin Myerson}, J. Reine Angew. Math. 757, 309--328 (2019; Zbl 1443.11209) Full Text: DOI arXiv OpenURL
Cao, Yang; Liang, Yongqi; Xu, Fei Arithmetic purity of strong approximation for homogeneous spaces. (English. French summary) Zbl 1454.14065 J. Math. Pures Appl. (9) 132, 334-368 (2019). MSC: 14G12 11G35 14G25 PDF BibTeX XML Cite \textit{Y. Cao} et al., J. Math. Pures Appl. (9) 132, 334--368 (2019; Zbl 1454.14065) Full Text: DOI arXiv Link OpenURL
Marmon, O.; Vishe, P. On the Hasse principle for quartic hypersurfaces. (English) Zbl 1457.11138 Duke Math. J. 168, No. 14, 2727-2799 (2019). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P55 11D25 11D45 14G05 PDF BibTeX XML Cite \textit{O. Marmon} and \textit{P. Vishe}, Duke Math. J. 168, No. 14, 2727--2799 (2019; Zbl 1457.11138) Full Text: DOI arXiv Euclid Link OpenURL
Liu, Jianya; Wu, Jie; Zhao, Yongqiang Manin’s conjecture for a class of singular cubic hypersurfaces. (English) Zbl 1451.11021 Int. Math. Res. Not. 2019, No. 7, 2008-2043 (2019). MSC: 11D45 11N37 14G40 14G12 14J70 PDF BibTeX XML Cite \textit{J. Liu} et al., Int. Math. Res. Not. 2019, No. 7, 2008--2043 (2019; Zbl 1451.11021) Full Text: DOI arXiv OpenURL
Izquierdo, Diego Vanishing theorems and Brauer-Hasse-Noether exact sequences for the cohomology of higher-dimensional fields. (English) Zbl 1454.11201 Trans. Am. Math. Soc. 372, No. 12, 8621-8662 (2019). Reviewer: Mouad Moutaoukil (Fès) MSC: 11R34 11G25 11G35 11S25 12G05 14G15 14G20 14G25 14J20 14J17 PDF BibTeX XML Cite \textit{D. Izquierdo}, Trans. Am. Math. Soc. 372, No. 12, 8621--8662 (2019; Zbl 1454.11201) Full Text: DOI arXiv OpenURL
Jahnel, Jörg; Schindler, Damaris On the frequency of algebraic Brauer classes on certain log \(K3\)- surfaces. (English) Zbl 1436.14045 Can. Math. Bull. 62, No. 3, 551-563 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 14G12 14J20 11D45 11E12 14G25 14F22 PDF BibTeX XML Cite \textit{J. Jahnel} and \textit{D. Schindler}, Can. Math. Bull. 62, No. 3, 551--563 (2019; Zbl 1436.14045) Full Text: DOI arXiv OpenURL
Sun, Chia-Liang The triviality of Brauer-Manin obstruction for subvarieties of semi-abelian varieties over function fields of characteristic zero. (English) Zbl 1470.11182 Manuscr. Math. 160, No. 3-4, 385-389 (2019). MSC: 11G35 14G25 14G12 14K12 PDF BibTeX XML Cite \textit{C.-L. Sun}, Manuscr. Math. 160, No. 3--4, 385--389 (2019; Zbl 1470.11182) Full Text: DOI OpenURL
Malmendier, Andreas; Sung, Yih Counting rational points on Kummer surfaces. (English) Zbl 1442.14040 Res. Number Theory 5, No. 3, Paper No. 27, 23 p. (2019). Reviewer: David McKinnon (Waterloo) MSC: 14D10 14J28 33C65 14G12 PDF BibTeX XML Cite \textit{A. Malmendier} and \textit{Y. Sung}, Res. Number Theory 5, No. 3, Paper No. 27, 23 p. (2019; Zbl 1442.14040) Full Text: DOI arXiv OpenURL
Kuo, Wentang; Liu, Yu-Ru; Zhao, Xiaomei The asymptotic estimates and Hasse principle for multidimensional Waring’s problem. (English) Zbl 1442.11137 Adv. Math. 353, 1-66 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11P05 11P55 11T55 PDF BibTeX XML Cite \textit{W. Kuo} et al., Adv. Math. 353, 1--66 (2019; Zbl 1442.11137) Full Text: DOI OpenURL
Booker, Andrew R. Cracking the problem with 33. (English) Zbl 1472.11093 Res. Number Theory 5, No. 3, Paper No. 26, 6 p. (2019). MSC: 11D25 11Y50 PDF BibTeX XML Cite \textit{A. R. Booker}, Res. Number Theory 5, No. 3, Paper No. 26, 6 p. (2019; Zbl 1472.11093) Full Text: DOI arXiv OpenURL
Demarche, Cyril; Lucchini Arteche, Giancarlo The Hasse principle for homogeneous spaces: reduction to the case of finite stabilizers. (Le principe de Hasse pour les espaces homogènes: réduction au cas des stabilisateurs finis.) (French. English summary) Zbl 07077747 Compos. Math. 155, No. 8, 1568-1593 (2019). MSC: 11E72 14L30 PDF BibTeX XML Cite \textit{C. Demarche} and \textit{G. Lucchini Arteche}, Compos. Math. 155, No. 8, 1568--1593 (2019; Zbl 07077747) Full Text: DOI arXiv OpenURL
Rome, Nick A positive proportion of Hasse principle failures in a family of Châtelet surfaces. (English) Zbl 1435.14023 Int. J. Number Theory 15, No. 6, 1237-1249 (2019). MSC: 14G12 14G05 11G35 11D25 PDF BibTeX XML Cite \textit{N. Rome}, Int. J. Number Theory 15, No. 6, 1237--1249 (2019; Zbl 1435.14023) Full Text: DOI arXiv OpenURL
Akhtari, Shabnam; Bhargava, Manjul A positive proportion of Thue equations fail the integral Hasse principle. (English) Zbl 1450.11026 Am. J. Math. 141, No. 2, 283-307 (2019). Reviewer: István Gaál (Debrecen) MSC: 11D59 PDF BibTeX XML Cite \textit{S. Akhtari} and \textit{M. Bhargava}, Am. J. Math. 141, No. 2, 283--307 (2019; Zbl 1450.11026) Full Text: DOI arXiv OpenURL
Nakahara, Masahiro Index of fibrations and Brauer classes that never obstruct the Hasse principle. (English) Zbl 1441.14082 Adv. Math. 348, 512-522 (2019). MSC: 14G12 14J28 14J26 14F22 14G05 PDF BibTeX XML Cite \textit{M. Nakahara}, Adv. Math. 348, 512--522 (2019; Zbl 1441.14082) Full Text: DOI arXiv OpenURL
Harpaz, Yonatan Second descent and rational points on Kummer varieties. (English) Zbl 1456.11107 Proc. Lond. Math. Soc. (3) 118, No. 3, 606-648 (2019). MSC: 11G10 14G05 PDF BibTeX XML Cite \textit{Y. Harpaz}, Proc. Lond. Math. Soc. (3) 118, No. 3, 606--648 (2019; Zbl 1456.11107) Full Text: DOI arXiv OpenURL
Browning, T. D. How often does the Hasse principle hold? (English) Zbl 1451.14074 de Fernex, Tommaso (ed.) et al., Algebraic geometry: Salt Lake City 2015. 2015 summer research institute in algebraic geometry, University of Utah, Salt Lake City, UT, USA, July 13–31, 2015. Proceedings. Part 2. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Proc. Symp. Pure Math. 97, 2, 89-102 (2018). MSC: 14G12 14G05 11D25 11G35 14F22 14M22 PDF BibTeX XML Cite \textit{T. D. Browning}, Proc. Symp. Pure Math. 97, 89--102 (2018; Zbl 1451.14074) Full Text: DOI OpenURL
Corn, Patrick; Nakahara, Masahiro Brauer-Manin obstructions on degree 2 K3 surfaces. (English) Zbl 07086383 Res. Number Theory 4, No. 3, Paper No. 33, 16 p. (2018). MSC: 14G05 11G35 14F22 PDF BibTeX XML Cite \textit{P. Corn} and \textit{M. Nakahara}, Res. Number Theory 4, No. 3, Paper No. 33, 16 p. (2018; Zbl 07086383) Full Text: DOI arXiv OpenURL
Creutz, Brendan; Viray, Bianca; Voloch, José Felipe The \(d\)-primary Brauer-Manin obstruction for curves. (English) Zbl 1439.14071 Res. Number Theory 4, No. 2, Paper No. 26, 16 p. (2018). MSC: 14F22 11G10 14G12 PDF BibTeX XML Cite \textit{B. Creutz} et al., Res. Number Theory 4, No. 2, Paper No. 26, 16 p. (2018; Zbl 1439.14071) Full Text: DOI arXiv OpenURL
Bitan, Rony A. On the genera of semisimple groups defined over an integral domain of a global function field. (English. French summary) Zbl 1441.11289 J. Théor. Nombres Bordx. 30, No. 3, 1037-1057 (2018). MSC: 11R58 11G45 11R29 PDF BibTeX XML Cite \textit{R. A. Bitan}, J. Théor. Nombres Bordx. 30, No. 3, 1037--1057 (2018; Zbl 1441.11289) Full Text: DOI arXiv OpenURL
Frei, Christopher; Loughran, Daniel; Newton, Rachel The Hasse norm principle for abelian extensions. (English) Zbl 1426.11127 Am. J. Math. 140, No. 6, 1639-1685 (2018). Reviewer: Claude Levesque (Québec) MSC: 11R29 11R20 PDF BibTeX XML Cite \textit{C. Frei} et al., Am. J. Math. 140, No. 6, 1639--1685 (2018; Zbl 1426.11127) Full Text: DOI arXiv Link OpenURL
Bright, Martin Obstructions to the Hasse principle in families. (English) Zbl 1444.11141 Manuscr. Math. 157, No. 3-4, 529-550 (2018). MSC: 11G35 14G25 14F22 PDF BibTeX XML Cite \textit{M. Bright}, Manuscr. Math. 157, No. 3--4, 529--550 (2018; Zbl 1444.11141) Full Text: DOI arXiv OpenURL
Clark, Pete L.; Watson, Lori D. ABC and the Hasse principle for quadratic twists of hyperelliptic curves. (ABC et le principe de Hasse pour les tordues de courbes hyperelliptiques.) (English. French summary) Zbl 1404.11091 C. R., Math., Acad. Sci. Paris 356, No. 9, 911-915 (2018). Reviewer: Rubén A. Hidalgo (Temuco) MSC: 11G30 14G05 PDF BibTeX XML Cite \textit{P. L. Clark} and \textit{L. D. Watson}, C. R., Math., Acad. Sci. Paris 356, No. 9, 911--915 (2018; Zbl 1404.11091) Full Text: DOI OpenURL
Liang, Yongqi Weak approximation for 0-cycles on a product of rationally connected varieties. (Approximation faible lespour les 0-cycles sur un produit de variétés rationnellement connexes.) (French. English summary) Zbl 1407.14018 Math. Proc. Camb. Philos. Soc. 164, No. 3, 485-491 (2018). Reviewer: Roberto Dvornicich (Pisa) MSC: 14G05 11G35 14C25 14F22 PDF BibTeX XML Cite \textit{Y. Liang}, Math. Proc. Camb. Philos. Soc. 164, No. 3, 485--491 (2018; Zbl 1407.14018) Full Text: DOI OpenURL
Heath-Brown, D. R. Zeros of pairs of quadratic forms. (English) Zbl 1405.11040 J. Reine Angew. Math. 739, 41-80 (2018). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E12 11E08 11D72 14G05 14G25 PDF BibTeX XML Cite \textit{D. R. Heath-Brown}, J. Reine Angew. Math. 739, 41--80 (2018; Zbl 1405.11040) Full Text: DOI arXiv Link OpenURL
Bayer-Fluckiger, E.; Lee, T.-Y.; Parimala, R. Embeddings of maximal tori in classical groups and explicit Brauer-Manin obstruction. (English) Zbl 1452.11037 J. Eur. Math. Soc. (JEMS) 20, No. 1, 137-163 (2018). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11E57 11E88 20G30 PDF BibTeX XML Cite \textit{E. Bayer-Fluckiger} et al., J. Eur. Math. Soc. (JEMS) 20, No. 1, 137--163 (2018; Zbl 1452.11037) Full Text: DOI arXiv OpenURL
Hu, Yong A cohomological Hasse principle over two-dimensional local rings. (English) Zbl 1405.11042 Int. Math. Res. Not. 2017, No. 14, 4369-4397 (2017). MSC: 11E72 13D03 19F27 12G05 PDF BibTeX XML Cite \textit{Y. Hu}, Int. Math. Res. Not. 2017, No. 14, 4369--4397 (2017; Zbl 1405.11042) Full Text: DOI arXiv OpenURL
Várilly-Alvarado, Anthony Arithmetic of \(K3\) surfaces. (English) Zbl 1407.14032 Bogomolov, Fedor (ed.) et al., Geometry over nonclosed fields. Proceedings of the Simons symposium, March 22–28, 2015. Cham: Springer. Simons Symp., 197-248 (2017). Reviewer: Noriko Yui (Kingston) MSC: 14J28 PDF BibTeX XML Cite \textit{A. Várilly-Alvarado}, in: Geometry over nonclosed fields. Proceedings of the Simons symposium, March 22--28, 2015. Cham: Springer. 197--248 (2017; Zbl 1407.14032) Full Text: DOI OpenURL
Jahnel, Jörg; Schindler, Damaris Del Pezzo surfaces of degree four violating the Hasse principle are Zariski dense in the moduli scheme. (Les surfaces de del Pezzo de degré quatre qui violent le principe de Hasse sont Zariski-denses dans le schéma de modules.) (English. French summary) Zbl 1446.11124 Ann. Inst. Fourier 67, No. 4, 1783-1807 (2017). Reviewer: Michel Waldschmidt (Paris) MSC: 11G35 14G25 14J26 14J10 PDF BibTeX XML Cite \textit{J. Jahnel} and \textit{D. Schindler}, Ann. Inst. Fourier 67, No. 4, 1783--1807 (2017; Zbl 1446.11124) Full Text: DOI arXiv OpenURL
Demarche, Cyril Integral Brauer-Manin obstructions on homogeneous spaces with finite nilpotent stabilizers. (Obstructions de Brauer-Manin entières sur les espaces homogènes à stabilisateurs finis nilpotents.) (French. English summary) Zbl 1430.11050 Bull. Soc. Math. Fr. 145, No. 2, 225-236 (2017). MSC: 11E72 14G05 14M17 20G30 PDF BibTeX XML Cite \textit{C. Demarche}, Bull. Soc. Math. Fr. 145, No. 2, 225--236 (2017; Zbl 1430.11050) Full Text: DOI arXiv OpenURL
Browning, Tim D.; Matthiesen, Lilian Norm forms for arbitrary number fields as products of linear polynomials. (Représentations de normes de corps de nombres arbitraires par des produits de polynômes linéaires.) (English. French summary) Zbl 1388.14070 Ann. Sci. Éc. Norm. Supér. (4) 50, No. 6, 1383-1446 (2017). Reviewer: D. R. Heath-Brown (Oxford) MSC: 14G05 11D57 11G35 11B30 14G25 PDF BibTeX XML Cite \textit{T. D. Browning} and \textit{L. Matthiesen}, Ann. Sci. Éc. Norm. Supér. (4) 50, No. 6, 1383--1446 (2017; Zbl 1388.14070) Full Text: DOI arXiv Link OpenURL
Brandes, Julia The Hasse principle for systems of quadratic and cubic diagonal equations. (English) Zbl 1422.11072 Q. J. Math. 68, No. 3, 831-850 (2017). Reviewer: Stephan Baier (Haora) MSC: 11D72 11D45 11P55 11E72 PDF BibTeX XML Cite \textit{J. Brandes}, Q. J. Math. 68, No. 3, 831--850 (2017; Zbl 1422.11072) Full Text: DOI arXiv OpenURL
Tian, Zhiyu Hasse principle for three classes of varieties over global function fields. (English) Zbl 1451.14075 Duke Math. J. 166, No. 17, 3349-3424 (2017). MSC: 14G12 14M22 14D10 14M10 14G05 PDF BibTeX XML Cite \textit{Z. Tian}, Duke Math. J. 166, No. 17, 3349--3424 (2017; Zbl 1451.14075) Full Text: DOI arXiv OpenURL
Jahnel, Jörg; Schindler, Damaris On integral points on degree four del Pezzo surfaces. (English) Zbl 1445.11055 Isr. J. Math. 222, No. 1, 21-62 (2017). MSC: 11G35 14G05 14G12 14J26 PDF BibTeX XML Cite \textit{J. Jahnel} and \textit{D. Schindler}, Isr. J. Math. 222, No. 1, 21--62 (2017; Zbl 1445.11055) Full Text: DOI arXiv OpenURL
Flicker, Yuval Z.; Krasoń, Piotr Multiplicative relations of points on algebraic groups. (English) Zbl 1409.11026 Bull. Pol. Acad. Sci., Math. 65, No. 2, 125-138 (2017). Reviewer: Yong Hu (Guangdong) MSC: 11D57 14G05 11D61 11J61 14G25 11G35 11-02 PDF BibTeX XML Cite \textit{Y. Z. Flicker} and \textit{P. Krasoń}, Bull. Pol. Acad. Sci., Math. 65, No. 2, 125--138 (2017; Zbl 1409.11026) Full Text: DOI OpenURL
Bitan, Rony A. Between the genus and the \(\Gamma \)-genus of an integral quadratic \(\Gamma \)-form. (English) Zbl 1429.11070 Acta Arith. 181, No. 2, 173-183 (2017). MSC: 11E04 11G20 14H05 11R29 11R58 11R65 11F75 PDF BibTeX XML Cite \textit{R. A. Bitan}, Acta Arith. 181, No. 2, 173--183 (2017; Zbl 1429.11070) Full Text: DOI arXiv OpenURL
Dietmann, Rainer On the \(h\)-invariant of cubic forms, and systems of cubic forms. (English) Zbl 1423.11077 Q. J. Math. 68, No. 2, 485-501 (2017). MSC: 11E76 11E95 11D25 PDF BibTeX XML Cite \textit{R. Dietmann}, Q. J. Math. 68, No. 2, 485--501 (2017; Zbl 1423.11077) Full Text: DOI OpenURL
Derenthal, Ulrich; Wei, Dasheng Strong approximation and descent. (English) Zbl 1396.11095 J. Reine Angew. Math. 731, 235-258 (2017). Reviewer: Masato Kuwata (Tokyo) MSC: 11G35 11D57 14F22 14G05 14G25 PDF BibTeX XML Cite \textit{U. Derenthal} and \textit{D. Wei}, J. Reine Angew. Math. 731, 235--258 (2017; Zbl 1396.11095) Full Text: DOI arXiv Link OpenURL
Browning, T. D.; Prendiville, S. M. Improvements in Birch’s theorem on forms in many variables. (English) Zbl 1409.11081 J. Reine Angew. Math. 731, 203-234 (2017). Reviewer: Damaris Schindler (Utrecht) MSC: 11P55 11D72 11G35 PDF BibTeX XML Cite \textit{T. D. Browning} and \textit{S. M. Prendiville}, J. Reine Angew. Math. 731, 203--234 (2017; Zbl 1409.11081) Full Text: DOI arXiv OpenURL
Nguyen, Dong Quan Ngoc Certain K3 surfaces parametrized by the Fibonacci sequence violate the Hasse principle. (English) Zbl 1386.11080 Rocky Mt. J. Math. 47, No. 5, 1693-1710 (2017). Reviewer: Damaris Schindler (Utrecht) MSC: 11G35 11G05 11G25 14F22 14G05 14J28 PDF BibTeX XML Cite \textit{D. Q. N. Nguyen}, Rocky Mt. J. Math. 47, No. 5, 1693--1710 (2017; Zbl 1386.11080) Full Text: DOI Euclid OpenURL
Nguyen, Dong Quan Ngoc Certain forms violate the Hasse principle. (English) Zbl 06787100 Tokyo J. Math. 40, No. 1, 277-299 (2017). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14F22 11G05 PDF BibTeX XML Cite \textit{D. Q. N. Nguyen}, Tokyo J. Math. 40, No. 1, 277--299 (2017; Zbl 06787100) Full Text: DOI Euclid Link OpenURL
Nguyen Ngoc Dong Quan The Brauer-Manin obstruction for certain quartic curves with negative discriminant. (English) Zbl 1390.14066 Commun. Algebra 45, No. 2, 455-468 (2017). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 14G05 11G35 11G30 PDF BibTeX XML Cite \textit{Nguyen Ngoc Dong Quan}, Commun. Algebra 45, No. 2, 455--468 (2017; Zbl 1390.14066) Full Text: DOI OpenURL
Frei, Christopher; Madritsch, Manfred Forms of differing degrees over number fields. (English) Zbl 1388.11036 Mathematika 63, No. 1, 92-123 (2017). Reviewer: Damaris Schindler (Utrecht) MSC: 11G35 11P55 14G05 11E76 PDF BibTeX XML Cite \textit{C. Frei} and \textit{M. Madritsch}, Mathematika 63, No. 1, 92--123 (2017; Zbl 1388.11036) Full Text: DOI arXiv OpenURL
Browning, Tim; Heath-Brown, Roger Forms in many variables and differing degrees. (English) Zbl 1383.11039 J. Eur. Math. Soc. (JEMS) 19, No. 2, 357-394 (2017). Reviewer: B. Z. Moroz (Bonn) MSC: 11D45 11P55 11L07 11G35 14G25 14M10 PDF BibTeX XML Cite \textit{T. Browning} and \textit{R. Heath-Brown}, J. Eur. Math. Soc. (JEMS) 19, No. 2, 357--394 (2017; Zbl 1383.11039) Full Text: DOI arXiv OpenURL
Heath-Brown, D. R. Rational points on the intersection of three quadrics. (English) Zbl 1373.14023 Int. J. Number Theory 13, No. 2, 273-289 (2017). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14G05 11D25 14G20 14J20 PDF BibTeX XML Cite \textit{D. R. Heath-Brown}, Int. J. Number Theory 13, No. 2, 273--289 (2017; Zbl 1373.14023) Full Text: DOI arXiv OpenURL
Irving, Alastair James Cubic polynomials represented by norm forms. (English) Zbl 1360.11062 J. Reine Angew. Math. 723, 217-250 (2017). Reviewer: István Gaál (Debrecen) MSC: 11D57 11N36 14G05 PDF BibTeX XML Cite \textit{A. J. Irving}, J. Reine Angew. Math. 723, 217--250 (2017; Zbl 1360.11062) Full Text: DOI arXiv OpenURL
Balestrieri, Francesca; Berg, Jennifer; Manes, Michelle; Park, Jennifer; Viray, Bianca Insufficiency of the Brauer-Manin obstruction for rational points on Enriques surfaces. (English) Zbl 1371.14042 Eischen, Ellen E. (ed.) et al., Directions in number theory. Proceedings of the 2014 women in numbers, WIN3 workshop. Banff, Alberta, Canada, April 21–25, 2014. Cham: Springer (ISBN 978-3-319-30974-3/hbk; 978-3-319-30976-7/ebook). Association for Women in Mathematics Series 3, 1-31 (2016). MSC: 14J28 14F22 14G05 PDF BibTeX XML Cite \textit{F. Balestrieri} et al., Assoc. Women Math. Ser. 3, 1--31 (2016; Zbl 1371.14042) Full Text: DOI OpenURL
Bertók, Csanád The complete solution of the Diophantine equation \((4m^2 + 1)^x + (5m^2 - 1)^y = (3m)^z\). (English) Zbl 1389.11085 Period. Math. Hung. 72, No. 1, 37-42 (2016). Reviewer: Péter Olajos (Miskolc) MSC: 11D61 PDF BibTeX XML Cite \textit{C. Bertók}, Period. Math. Hung. 72, No. 1, 37--42 (2016; Zbl 1389.11085) Full Text: DOI OpenURL
Dietmann, Rainer; Elsholtz, Christian Sums of two squares and a power. (English) Zbl 1407.11052 Sander, Jürgen (ed.) et al., From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 103-108 (2016). MSC: 11E25 11P05 PDF BibTeX XML Cite \textit{R. Dietmann} and \textit{C. Elsholtz}, in: From arithmetic to zeta-functions. Number theory in memory of Wolfgang Schwarz. Cham: Springer. 103--108 (2016; Zbl 1407.11052) Full Text: DOI arXiv OpenURL
Ngô Thị Ngoan; Nguyêñ Quôć Thǎńg On some Hasse principles for algebraic groups over global fields. III. (English) Zbl 1420.11072 Proc. Japan Acad., Ser. A 92, No. 8, 87-91 (2016). MSC: 11E72 14F20 14L15 14G20 20G10 PDF BibTeX XML Cite \textit{Ngô Thị Ngoan} and \textit{Nguyêñ Quôć Thǎńg}, Proc. Japan Acad., Ser. A 92, No. 8, 87--91 (2016; Zbl 1420.11072) Full Text: DOI Euclid OpenURL
Han, Ilseop A method of computing the constant field obstruction to the Hasse principle for the Brauer groups of genus one curves. (English) Zbl 1386.14083 J. Korean Math. Soc. 53, No. 6, 1431-1443 (2016). MSC: 14F22 14H05 14H45 PDF BibTeX XML Cite \textit{I. Han}, J. Korean Math. Soc. 53, No. 6, 1431--1443 (2016; Zbl 1386.14083) Full Text: DOI OpenURL
Liang, Yongqi Progress concerning the local-global principle for zero-cycles on algebraic varieties. (English) Zbl 1358.11073 Rocky Mt. J. Math. 46, No. 4, 1293-1308 (2016). Reviewer: Alberto Collino (Verzuolo) MSC: 11G35 14C25 14G25 PDF BibTeX XML Cite \textit{Y. Liang}, Rocky Mt. J. Math. 46, No. 4, 1293--1308 (2016; Zbl 1358.11073) Full Text: DOI Euclid OpenURL
Zhao, Lilu The quadratic form in nine prime variables. (English) Zbl 1353.11101 Nagoya Math. J. 223, 21-65 (2016). Reviewer: Damaris Schindler (Utrecht) MSC: 11P55 11P32 11D09 PDF BibTeX XML Cite \textit{L. Zhao}, Nagoya Math. J. 223, 21--65 (2016; Zbl 1353.11101) Full Text: DOI OpenURL
Nguyen, Lan On the local and global principle for systems of rational homogeneous forms in a finite number of variables. (English) Zbl 1409.11031 JP J. Algebra Number Theory Appl. 38, No. 1, 79-94 (2016). MSC: 11E76 PDF BibTeX XML Cite \textit{L. Nguyen}, JP J. Algebra Number Theory Appl. 38, No. 1, 79--94 (2016; Zbl 1409.11031) Full Text: DOI Link OpenURL
Ngô Thị Ngoan; Nguyễn Quôc Thăng On some Hasse principles for homogeneous spaces of algebraic groups over global fields of positive characteristic. (English) Zbl 1378.11050 Proc. Steklov Inst. Math. 292, 171-184 (2016) and Tr. Mat. Inst. Steklova 292, 177-190 (2016). Reviewer: Yong Hu (Guangdong) MSC: 11E72 14G17 14L30 20G30 PDF BibTeX XML Cite \textit{Ngô Thị Ngoan} and \textit{Nguyễn Quôc Thăng}, Proc. Steklov Inst. Math. 292, 171--184 (2016; Zbl 1378.11050) Full Text: DOI OpenURL
Kraus, Alain Counterexamples to the Hasse principle for Fermat curves. (Contre-exemples au principe de Hasse pour les courbes de Fermat.) (English) Zbl 1402.11051 Acta Arith. 174, No. 2, 189-197 (2016). MSC: 11D41 11R18 PDF BibTeX XML Cite \textit{A. Kraus}, Acta Arith. 174, No. 2, 189--197 (2016; Zbl 1402.11051) Full Text: DOI arXiv OpenURL
Harpaz, Yonatan; Skorobogatov, Alexei Hasse principle for Kummer varieties. (English) Zbl 1369.14032 Algebra Number Theory 10, No. 4, 813-841 (2016). Reviewer: Yongqi Liang (Paris) MSC: 14G05 11J95 PDF BibTeX XML Cite \textit{Y. Harpaz} and \textit{A. Skorobogatov}, Algebra Number Theory 10, No. 4, 813--841 (2016; Zbl 1369.14032) Full Text: DOI arXiv OpenURL
Bitan, Rony A. The Hasse principle for bilinear symmetric forms over a ring of integers of a global function field. (English) Zbl 1401.11078 J. Number Theory 168, 346-359 (2016). Reviewer: Andrew Dolphin (Antwerpen) MSC: 11E04 PDF BibTeX XML Cite \textit{R. A. Bitan}, J. Number Theory 168, 346--359 (2016; Zbl 1401.11078) Full Text: DOI arXiv OpenURL
Browning, T. D.; Newton, R. The proportion of failures of the Hasse norm principle. (English) Zbl 1341.11037 Mathematika 62, No. 2, 337-347 (2016). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11G35 11R37 12G05 14G05 PDF BibTeX XML Cite \textit{T. D. Browning} and \textit{R. Newton}, Mathematika 62, No. 2, 337--347 (2016; Zbl 1341.11037) Full Text: DOI arXiv OpenURL
Wu, Zhengyao Hasse principle for hermitian spaces over semi-global fields. (English) Zbl 1342.11048 J. Algebra 458, 171-196 (2016). Reviewer: Andrew Dolphin (Antwerpen) MSC: 11E39 11E72 14G05 20G35 PDF BibTeX XML Cite \textit{Z. Wu}, J. Algebra 458, 171--196 (2016; Zbl 1342.11048) Full Text: DOI arXiv OpenURL