Bibliographie
159
43. J.-L. Colliot-Thélène, P. Gille, Remarques sur l’approximation faible sur un corps de
fonctions d’une variable, in Arithmetic of Higher-Dimensional Algebraic Varieties (Palo Alto,
CA, 2002). Progress in Mathematics, vol. 226 (Birkhäuser, Boston, 2004), pp. 121–134
44. J.-L. Colliot-Thélène, W. Raskind, K 2 -cohomology and the second Chow group. Math. Ann.
270, 165–199 (1985)
45. J.-L. Colliot-Thélène, J.-J. Sansuc, La R-équivalence sur les tores. Ann. Sci. Éc. Norm. Supér.
10, 175–229 (1977)
46. J.-L. Colliot-Thélène, J.-J. Sansuc, Principal homogeneous spaces under flasque tori: applications. J. Algebra 106, 148–205 (1987)
47. J.-L. Colliot-Thélène, J.-J. Sansuc, La descente sur les variétés rationnelles. Duke Math. J.
54, 375–492 (1987)
48. J.-L. Colliot-Thélène, A.N. Skorobogatov, Groupe de Chow des zéro-cycles sur les fibrés en
quadriques. K-Theory 7, 477–500 (1993)
49. J.-L. Colliot-Thélène, P. Gille, R. Parimala, Arithmetic of linear algebraic groups over twodimensional geometric fields. Duke Math. J. 121, 285–321 (2004)
50. E. Colombo, B. van Geemen, E. Looijenga, Del Pezzo moduli via root systems, in Algebra,
Arithmetic, and Geometry: In Honor of Yu. I. Manin. Vol. I. Progress in Mathematics, vol. 269
(Birkhäuser, Boston, 2009), pp. 291–337
51. B. Conrad, Reductive group schemes, in Autour des schémas en groupes I. Panoramas et
Synthèses, vols. 42–43 (Société Mathématique de France, Paris, 2015), pp. 93–444
52. B. Conrad, Standard Parabolic Subgroups: Theory and Examples, http://math.stanford.edu/~
conrad/249BW16Page/handouts/stdpar.pdf
53. B. Conrad, O. Gabber, G. Prasad, Pseudo-Reductive Groups, 2nd edn. (Cambridge University
Press, Cambridge, 2015)
54. A. Cortella, Le principe de Hasse pour les similitudes de formes quadratiques et hermitiennes.
Théorie des nombres, Année (Publ. Math. Fac. Sci. Besançon, Univ. Franche-Comté,
Besançon, 1991/1992), 11 pp.
55. E.C. Dade, The maximal subgroups of 4 × 4 integral matrices. Ill. J. Math. 9, 99–122 (1965)
56. A.J. de Jong, The period-index problem for the Brauer group of an algebraic surface. Duke
Math. J. 123, 71–94 (2004)
57. A.J. de Jong, X. He, J.M. Starr, Families of rationally simply connected varieties over surfaces
and torsors for semisimple groups. Publ. Math. I.H.É.S. 114, 1–85 (2011)
58. C. Demarche, Cohomologie de Hochschild non abélienne et extensions de faisceaux en
groupes, in Autour des schémas en groupes II. Panoramas et Synthèses, vol. 46 (Société
Mathématique de France, Paris, 2015), pp. 255–292
59. M. Demazure, P. Gabriel, Groupes algébriques (North-Holland, Amsterdam, 1970)
60. M. Demazure, A. Grothendieck, Séminaire de Géométrie algébrique de l’I.H.E.S., 1963–
1964, schémas en groupes. Lecture Notes in Mathematics (Springer, Berlin, 1970), pp. 151–
153
61. A. Dolphin, Decomposition of algebras with involution in characteristic 2. J. Pure Appl.
Algebra 217, 1620–1633 (2013)
62. E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras. Mat. Sbornik N.S. 30(72),
349–462 (1952)
63. E. Elman, N. Karpenko, A. Merkurjev, The Algebraic and Geometric Theory of Quadratic
Forms. Colloquium Publications, vol. 56 (American Mathematical Society, Providence, 2008)
64. M.A. Elomary, J.-P. Tignol, Classification of quadratic forms over skew fields of characteristic
2. J. Algebra 240, 366–392 (2001)
159
43. J.-L. Colliot-Thélène, P. Gille, Remarques sur l’approximation faible sur un corps de
fonctions d’une variable, in Arithmetic of Higher-Dimensional Algebraic Varieties (Palo Alto,
CA, 2002). Progress in Mathematics, vol. 226 (Birkhäuser, Boston, 2004), pp. 121–134
44. J.-L. Colliot-Thélène, W. Raskind, K 2 -cohomology and the second Chow group. Math. Ann.
270, 165–199 (1985)
45. J.-L. Colliot-Thélène, J.-J. Sansuc, La R-équivalence sur les tores. Ann. Sci. Éc. Norm. Supér.
10, 175–229 (1977)
46. J.-L. Colliot-Thélène, J.-J. Sansuc, Principal homogeneous spaces under flasque tori: applications. J. Algebra 106, 148–205 (1987)
47. J.-L. Colliot-Thélène, J.-J. Sansuc, La descente sur les variétés rationnelles. Duke Math. J.
54, 375–492 (1987)
48. J.-L. Colliot-Thélène, A.N. Skorobogatov, Groupe de Chow des zéro-cycles sur les fibrés en
quadriques. K-Theory 7, 477–500 (1993)
49. J.-L. Colliot-Thélène, P. Gille, R. Parimala, Arithmetic of linear algebraic groups over twodimensional geometric fields. Duke Math. J. 121, 285–321 (2004)
50. E. Colombo, B. van Geemen, E. Looijenga, Del Pezzo moduli via root systems, in Algebra,
Arithmetic, and Geometry: In Honor of Yu. I. Manin. Vol. I. Progress in Mathematics, vol. 269
(Birkhäuser, Boston, 2009), pp. 291–337
51. B. Conrad, Reductive group schemes, in Autour des schémas en groupes I. Panoramas et
Synthèses, vols. 42–43 (Société Mathématique de France, Paris, 2015), pp. 93–444
52. B. Conrad, Standard Parabolic Subgroups: Theory and Examples, http://math.stanford.edu/~
conrad/249BW16Page/handouts/stdpar.pdf
53. B. Conrad, O. Gabber, G. Prasad, Pseudo-Reductive Groups, 2nd edn. (Cambridge University
Press, Cambridge, 2015)
54. A. Cortella, Le principe de Hasse pour les similitudes de formes quadratiques et hermitiennes.
Théorie des nombres, Année (Publ. Math. Fac. Sci. Besançon, Univ. Franche-Comté,
Besançon, 1991/1992), 11 pp.
55. E.C. Dade, The maximal subgroups of 4 × 4 integral matrices. Ill. J. Math. 9, 99–122 (1965)
56. A.J. de Jong, The period-index problem for the Brauer group of an algebraic surface. Duke
Math. J. 123, 71–94 (2004)
57. A.J. de Jong, X. He, J.M. Starr, Families of rationally simply connected varieties over surfaces
and torsors for semisimple groups. Publ. Math. I.H.É.S. 114, 1–85 (2011)
58. C. Demarche, Cohomologie de Hochschild non abélienne et extensions de faisceaux en
groupes, in Autour des schémas en groupes II. Panoramas et Synthèses, vol. 46 (Société
Mathématique de France, Paris, 2015), pp. 255–292
59. M. Demazure, P. Gabriel, Groupes algébriques (North-Holland, Amsterdam, 1970)
60. M. Demazure, A. Grothendieck, Séminaire de Géométrie algébrique de l’I.H.E.S., 1963–
1964, schémas en groupes. Lecture Notes in Mathematics (Springer, Berlin, 1970), pp. 151–
153
61. A. Dolphin, Decomposition of algebras with involution in characteristic 2. J. Pure Appl.
Algebra 217, 1620–1633 (2013)
62. E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras. Mat. Sbornik N.S. 30(72),
349–462 (1952)
63. E. Elman, N. Karpenko, A. Merkurjev, The Algebraic and Geometric Theory of Quadratic
Forms. Colloquium Publications, vol. 56 (American Mathematical Society, Providence, 2008)
64. M.A. Elomary, J.-P. Tignol, Classification of quadratic forms over skew fields of characteristic
2. J. Algebra 240, 366–392 (2001)