Haas, Johann; Lüders, Morten A local to global principle for higher zero-cycles. (English) Zbl 07276983 J. Number Theory 220, 235-265 (2021). MSC: 14C15 11R37 PDF BibTeX XML Cite \textit{J. Haas} and \textit{M. Lüders}, J. Number Theory 220, 235--265 (2021; Zbl 07276983) Full Text: DOI
Harpaz, Yonatan; Wittenberg, Olivier Zero-cycles on homogeneous spaces and inverse Galois problem. (Zéro-cycles sur les espaces homogènes et problème de Galois inverse.) (English) Zbl 07225790 J. Am. Math. Soc. 33, No. 3, 775-805 (2020). MSC: 14G05 11G35 12F12 14C25 14M17 PDF BibTeX XML Cite \textit{Y. Harpaz} and \textit{O. Wittenberg}, J. Am. Math. Soc. 33, No. 3, 775--805 (2020; Zbl 07225790) Full Text: DOI
Colliot-Thélène, J.-L. Stably rational surfaces over a quasi-finite field. (English. French original) Zbl 1448.14049 Izv. Math. 83, No. 3, 521-533 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 113-126 (2019). MSC: 14M20 14J20 14J26 PDF BibTeX XML Cite \textit{J. L. Colliot-Thélène}, Izv. Math. 83, No. 3, 521--533 (2019; Zbl 1448.14049); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 113--126 (2019) Full Text: DOI
Creutz, Brendan; Viray, Bianca Degree and the Brauer-Manin obstruction. (English) Zbl 1408.14086 Algebra Number Theory 12, No. 10, 2445-2470 (2018). Reviewer: Damián Gvirtz (London) MSC: 14G05 11G35 14F22 PDF BibTeX XML Cite \textit{B. Creutz} and \textit{B. Viray}, Algebra Number Theory 12, No. 10, 2445--2470 (2018; Zbl 1408.14086) Full Text: DOI
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
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
Harpaz, Yonatan; Wittenberg, Olivier On the fibration method for zero-cycles and rational points. (English) Zbl 1342.14052 Ann. Math. (2) 183, No. 1, 229-295 (2016). Reviewer: B. Z. Moroz (Bonn) MSC: 14G05 14D06 14G25 14D10 14F22 11G35 PDF BibTeX XML Cite \textit{Y. Harpaz} and \textit{O. Wittenberg}, Ann. Math. (2) 183, No. 1, 229--295 (2016; Zbl 1342.14052) Full Text: DOI arXiv
Elsenhans, Andreas-Stephan; Jahnel, Jörg Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme. (English) Zbl 1322.11069 Adv. Math. 280, 360-378 (2015). Reviewer: David McKinnon (Waterloo) MSC: 11G35 14G25 14G05 14J26 14J10 PDF BibTeX XML Cite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, Adv. Math. 280, 360--378 (2015; Zbl 1322.11069) Full Text: DOI arXiv
Liang, Yongqi Towards the Brauer-Manin obstruction on varieties fibred over the projective line. (English) Zbl 1372.11066 J. Algebra 413, 50-71 (2014). Reviewer: David McKinnon (Waterloo) MSC: 11G35 14G25 14D10 PDF BibTeX XML Cite \textit{Y. Liang}, J. Algebra 413, 50--71 (2014; Zbl 1372.11066) Full Text: DOI arXiv
Yamazaki, Takao The Brauer-Manin pairing, class field theory, and motivic homology. (English) Zbl 1325.11125 Nagoya Math. J. 210, 29-58 (2013). Reviewer: Manabu Yoshida (Kumamoto) MSC: 11S25 14C25 14F42 14G20 PDF BibTeX XML Cite \textit{T. Yamazaki}, Nagoya Math. J. 210, 29--58 (2013; Zbl 1325.11125) Full Text: DOI Euclid arXiv
Colliot-Thélène, Jean-Louis; Kahn, Bruno Cycles of codimension 2 and unramified \(H^3\) for varieties over finite fields. (Cycles de codimension 2 et \(H^3\) non ramifié pour les variétés sur les corps finis.) (French. English summary) Zbl 1263.19004 J. \(K\)-Theory 11, No. 1, 1-53 (2013). MSC: 19E15 14G15 14G25 14C25 14C35 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène} and \textit{B. Kahn}, J. \(K\)-Theory 11, No. 1, 1--53 (2013; Zbl 1263.19004) Full Text: DOI
Wittenberg, Olivier Zero cycles on fibrations over a curve of arbitrary genus. (Zéro-cycles sur les fibrations au-dessus d’une courbe de genre quelconque.) (French. English summary) Zbl 1248.14030 Duke Math. J. 161, No. 11, 2113-2166 (2012). Reviewer: Fumio Hazama (Hatoyama) MSC: 14G25 14C15 14C25 14D10 PDF BibTeX XML Cite \textit{O. Wittenberg}, Duke Math. J. 161, No. 11, 2113--2166 (2012; Zbl 1248.14030) Full Text: DOI Euclid arXiv
Gille, Stefan The Rost nilpotence theorem for geometrically rational surfaces. (English) Zbl 1193.14050 Invent. Math. 181, No. 1, 1-19 (2010). Reviewer: Takao Yamazaki (Tohoku) MSC: 14J26 14C15 14C35 PDF BibTeX XML Cite \textit{S. Gille}, Invent. Math. 181, No. 1, 1--19 (2010; Zbl 1193.14050) Full Text: DOI
Pisolkar, Supriya The Chow group of zero-cycles on certain Châtelet surfaces over local fields. (English) Zbl 1245.14026 Indag. Math., New Ser. 19, No. 3, 427-439 (2008). MSC: 14G20 11G25 14C25 PDF BibTeX XML Cite \textit{S. Pisolkar}, Indag. Math., New Ser. 19, No. 3, 427--439 (2008; Zbl 1245.14026) Full Text: DOI arXiv
Bazyleu, D. F.; Van Geel, J.; Yanchevskiĭ, V. I. Note on conic bundles over Henselian discrete valued fields with real closed residue field. (English) Zbl 1175.16012 Commun. Algebra 36, No. 9, 3353-3362 (2008). Reviewer: Jean-Pierre E. Tignol (Louvain-La-Neuve) MSC: 16K20 11E10 11E04 12E15 14H05 14J26 PDF BibTeX XML Cite \textit{D. F. Bazyleu} et al., Commun. Algebra 36, No. 9, 3353--3362 (2008; Zbl 1175.16012) Full Text: DOI
Kunyavskiĭ, Boris È.; Rowen, Louis H.; Tikhonov, Sergey V.; Yanchevskiĭ, Vyacheslav I. Bicyclic algebras of prime exponent over function fields. (English) Zbl 1101.16013 Trans. Am. Math. Soc. 358, No. 6, 2579-2610 (2006). Reviewer: Uzi Vishne (Ramat-Gan) MSC: 16K20 PDF BibTeX XML Cite \textit{B. È. Kunyavskiĭ} et al., Trans. Am. Math. Soc. 358, No. 6, 2579--2610 (2006; Zbl 1101.16013) Full Text: DOI
Welters, Gerald E. The Brauer group and the second Abel-Jacobi map for 0-cycles on algebraic varieties. (English) Zbl 1095.14008 Duke Math. J. 117, No. 3, 447-487 (2003). Reviewer: Stefan Schröer (Düsseldorf) MSC: 14C15 14F22 PDF BibTeX XML Cite \textit{G. E. Welters}, Duke Math. J. 117, No. 3, 447--487 (2003; Zbl 1095.14008) Full Text: DOI
Dalawat, Chandan Singh The Chow group of a Châtelet surface over a local field. (Le groupe de Chow d’une surface de Châtelet sur un corps local.) (French) Zbl 1019.14002 Indag. Math., New Ser. 11, No. 2, 173-185 (2000). Reviewer: Robert Cornelis Laterveer (MR 2001m:14010) MSC: 14C15 14G20 11G25 14C25 14J25 PDF BibTeX XML Cite \textit{C. S. Dalawat}, Indag. Math., New Ser. 11, No. 2, 173--185 (2000; Zbl 1019.14002) Full Text: DOI
Colliot-Thélène, Jean-Louis Local-global principle for the zero-cycles on ruled surfaces. (Principe local-global pour les zéro-cycles sur les surfaces réglées.) (French) Zbl 0972.14001 J. Am. Math. Soc. 13, No. 1, 101-124 (2000). Reviewer: B.Kunyavskii (Ramat Gan) MSC: 14C15 14F22 14C25 12D15 14J20 14G25 11G35 14J26 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène}, J. Am. Math. Soc. 13, No. 1, 101--124 (2000; Zbl 0972.14001) Full Text: DOI
Suresh, V. Zero cycles on conic fibrations and a conjecture of Bloch. (English) Zbl 0874.14003 \(K\)-Theory 10, No. 6, 597-610 (1996). MSC: 14C05 19E15 11E08 PDF BibTeX XML Cite \textit{V. Suresh}, \(K\)-Theory 10, No. 6, 597--610 (1996; Zbl 0874.14003) Full Text: DOI
Harari, David Hasse principle and weak approximation on certain hypersurfaces. (Principe de Hasse et approximation faible sur certaines hypersurfaces.) (French) Zbl 0870.14014 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 4, No. 4, 731-762 (1995). Reviewer: B.Kunyavskii (Ramat Gan) MSC: 14G05 14G25 14J70 14F22 PDF BibTeX XML Cite \textit{D. Harari}, Ann. Fac. Sci. Toulouse, Math. (6) 4, No. 4, 731--762 (1995; Zbl 0870.14014) Full Text: DOI Numdam EuDML
Colliot-Thélène, Jean-Louis The arithmetic of the Chow group of zero-cycles. (L’arithmétique du groupe de Chow des zéro-cycles.) (French) Zbl 0870.14002 J. Théor. Nombres Bordx. 7, No. 1, 51-73 (1995). Reviewer: G.Horrocks (Newcastle upon Tyne) MSC: 14C25 14C05 14F22 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène}, J. Théor. Nombres Bordx. 7, No. 1, 51--73 (1995; Zbl 0870.14002) Full Text: DOI EMIS Numdam EuDML
Colliot-Thélène, Jean-Louis; Skorobogatov, Alexei N. Chow groups of zero cycles on pencils of quadrics. (Groupe de Chow des zéro-cycles sur les fibrés en quadriques.) (French) Zbl 0837.14002 \(K\)-Theory 7, No. 5, 477-500 (1993). Reviewer: J.Steenbrink (Nijmegen) MSC: 14C05 14C25 14J20 11E12 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène} and \textit{A. N. Skorobogatov}, \(K\)-Theory 7, No. 5, 477--500 (1993; Zbl 0837.14002) Full Text: DOI
Kahn, Bruno Galois descent and \(K_ 2\) of number fields. (Descente galoisienne et \(K_ 2\) des corps de nombres.) (French) Zbl 0780.12007 \(K\)-Theory 7, No. 1, 55-100 (1993). Reviewer: V.P.Snaith (Hamilton / Ontario) MSC: 12G05 11R70 19C99 13D25 19C30 PDF BibTeX XML Cite \textit{B. Kahn}, \(K\)-Theory 7, No. 1, 55--100 (1993; Zbl 0780.12007) Full Text: DOI
Colliot-Thélène, Jean-Louis The arithmetic of rational varieties. (L’arithmétique des variétés rationnelles.) (French) Zbl 0787.14012 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 1, No. 3, 295-336 (1992). Reviewer: P.Schenzel (Halle) MSC: 14G40 14M20 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène}, Ann. Fac. Sci. Toulouse, Math. (6) 1, No. 3, 295--336 (1992; Zbl 0787.14012) Full Text: DOI Numdam EuDML
Mildenhall, Stephen J. M. Cycles in a product of elliptic curves, and a group analogous to the class group. (English) Zbl 0788.14004 Duke Math. J. 67, No. 2, 387-406 (1992). Reviewer: Stephen J.M.Mildenhall MSC: 14C05 14G35 14H52 14C25 PDF BibTeX XML Cite \textit{S. J. M. Mildenhall}, Duke Math. J. 67, No. 2, 387--406 (1992; Zbl 0788.14004) Full Text: DOI
Coombes, Kevin R. The arithmetic of zero cycles on surfaces with geometric genus and irregularity zero. (English) Zbl 0787.14002 Math. Ann. 291, No. 3, 429-452 (1991). MSC: 14C25 14C15 14J10 PDF BibTeX XML Cite \textit{K. R. Coombes}, Math. Ann. 291, No. 3, 429--452 (1991; Zbl 0787.14002) Full Text: DOI EuDML
Saito, Shuji On the cycle map for torsion algebraic cycles of codimension two. (English) Zbl 0764.14004 Invent. Math. 106, No. 3, 443-460 (1991). Reviewer: S.Xambó-Descamps (Madrid) MSC: 14C25 14C05 PDF BibTeX XML Cite \textit{S. Saito}, Invent. Math. 106, No. 3, 443--460 (1991; Zbl 0764.14004) Full Text: DOI EuDML
Salberger, P.; Skorobogatov, A. N. Weak approximation for surfaces defined by two quadratic forms. (English) Zbl 0770.14019 Duke Math. J. 63, No. 2, 517-536 (1991). Reviewer: N.Manolache (Bucureşti) MSC: 14J20 14M10 14J25 14G25 14G20 PDF BibTeX XML Cite \textit{P. Salberger} and \textit{A. N. Skorobogatov}, Duke Math. J. 63, No. 2, 517--536 (1991; Zbl 0770.14019) Full Text: DOI
Colliot-Thélène, Jean-Louis; Raskind, Wayne Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion). (French) Zbl 0752.14004 Invent. Math. 105, No. 2, 221-245 (1991). Reviewer: R.M.Miró-Roig (Barcelona) MSC: 14C05 14G25 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène} and \textit{W. Raskind}, Invent. Math. 105, No. 2, 221--245 (1991; Zbl 0752.14004) Full Text: DOI EuDML
Kunyavskij, B. Eh.; Skorobogatov, A. N.; Tsfasman, M. A. Del Pezzo surfaces of degree four. (English) Zbl 0705.14039 Mém. Soc. Math. Fr., Nouv. Sér. 37, 1-113 (1989). Reviewer: F.L.Zak MSC: 14J26 12G05 PDF BibTeX XML Cite \textit{B. Eh. Kunyavskij} et al., Mém. Soc. Math. Fr., Nouv. Sér. 37, 1--113 (1989; Zbl 0705.14039) Full Text: DOI Numdam EuDML
Salberger, P. Zero-cycles on rational surfaces over number fields. (English) Zbl 0688.14008 Invent. Math. 91, No. 3, 505-524 (1988). Reviewer: A.Papantonopoulou MSC: 14C25 14M20 14C35 PDF BibTeX XML Cite \textit{P. Salberger}, Invent. Math. 91, No. 3, 505--524 (1988; Zbl 0688.14008) Full Text: DOI EuDML
Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques La descente sur les variétés rationnelles. II. (The descent on rational varieties. II). (French) Zbl 0659.14028 Duke Math. J. 54, 375-492 (1987). Reviewer: G.Faltings MSC: 14M20 14G05 14G25 14J25 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène} and \textit{J.-J. Sansuc}, Duke Math. J. 54, 375--492 (1987; Zbl 0659.14028) Full Text: DOI
Muder, Douglas J. Concerning a conjecture of Colliot-Thélène and Sansuc. (English) Zbl 0637.14004 Duke Math. J. 55, 51-63 (1987). Reviewer: J.-L.Colliot-Thélène MSC: 14C15 14C25 14J25 14C05 14J20 PDF BibTeX XML Cite \textit{D. J. Muder}, Duke Math. J. 55, 51--63 (1987; Zbl 0637.14004) Full Text: DOI
Coombes, Kevin R.; Muder, Douglas J. Zero cycles on del Pezzo surfaces over local fields. (English) Zbl 0592.14034 J. Algebra 97, 438-460 (1985). Reviewer: K.Lai MSC: 14J25 14C25 14G20 14C05 14C22 PDF BibTeX XML Cite \textit{K. R. Coombes} and \textit{D. J. Muder}, J. Algebra 97, 438--460 (1985; Zbl 0592.14034) Full Text: DOI
Colliot-Thélène, Jean-Louis; Raskind, Wayne \(K_ 2\)-cohomology and the second Chow group. (English) Zbl 0536.14004 Math. Ann. 270, 165-199 (1985). MSC: 14C15 14C35 12G05 14C05 18F25 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène} and \textit{W. Raskind}, Math. Ann. 270, 165--199 (1985; Zbl 0536.14004) Full Text: DOI EuDML
Colliot-Thelene, Jean-Louis Hilbert’s theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces. (English) Zbl 0527.14011 Invent. Math. 71, 1-20 (1983). MSC: 14C35 14C15 14M20 14C25 14C05 14G05 14J25 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thelene}, Invent. Math. 71, 1--20 (1983; Zbl 0527.14011) Full Text: DOI EuDML
Colliot-Thelene, Jean-Louis; Sansuc, Jean-Jacques Quelques gammes sur les formes quadratiques. (French) Zbl 0515.10018 J. Algebra 84, 449-467 (1983). MSC: 11E04 11E12 11E08 14C25 14H45 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thelene} and \textit{J.-J. Sansuc}, J. Algebra 84, 449--467 (1983; Zbl 0515.10018) Full Text: DOI