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Volumn 76, Issue 2, 1996, Pages 165-189

On large Picard groups and the Hasse principle for curves and K3 surfaces

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EID: 0030446474     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-76-2-165-189     Document Type: Article
Times cited : (27)

References (45)
  • 2
    • 84974034571 scopus 로고
    • Algebraic points on quartic curves over function fields
    • A. Bremner, Algebraic points on quartic curves over function fields, Glasgow Math. J. 26 (1985), 187-190.
    • (1985) Glasgow Math. J. , vol.26 , pp. 187-190
    • Bremner, A.1
  • 3
    • 0011351806 scopus 로고
    • Some varieties with points only in a field extension
    • A. Bremner, D. J. Lewis and P. Morton, Some varieties with points only in a field extension, Arch. Math. 43 (1984), 344-350.
    • (1984) Arch. Math. , vol.43 , pp. 344-350
    • Bremner, A.1    Lewis, D.J.2    Morton, P.3
  • 4
    • 0011357619 scopus 로고
    • Remarques sur les couples de formes quadratiques
    • A. Brumer, Remarques sur les couples de formes quadratiques, C. R. Acad. Sci. Paris A 286 (1978), 679-681.
    • (1978) C. R. Acad. Sci. Paris A , vol.286 , pp. 679-681
    • Brumer, A.1
  • 5
    • 84974050679 scopus 로고
    • The arithmetic of certain quartic curves
    • J. W. S. Cassels, The arithmetic of certain quartic curves, Proc. Roy. Soc. Edinburgh 100 (1985), 201-218.
    • (1985) Proc. Roy. Soc. Edinburgh , vol.100 , pp. 201-218
    • Cassels, J.W.S.1
  • 6
    • 0004142692 scopus 로고
    • Cambridge Univ. Press, Cambridge
    • _, Local Fields, Cambridge Univ. Press, Cambridge, 1986.
    • (1986) Local Fields
  • 8
    • 84974122244 scopus 로고
    • On the Hasse principle for cubic surfaces
    • J. W. S. Cassels and M. J. T. Guy, On the Hasse principle for cubic surfaces, Mathematika 13 (1966), 111-120.
    • (1966) Mathematika , vol.13 , pp. 111-120
    • Cassels, J.W.S.1    Guy, M.J.T.2
  • 9
    • 0000112633 scopus 로고
    • Variations sur un thème de Poincaré
    • F. Châtelet, Variations sur un thème de Poincaré, Ann. Ecole Norm. Sup. 61 (1944), 249-300.
    • (1944) Ann. Ecole Norm. Sup. , vol.61 , pp. 249-300
    • Châtelet, F.1
  • 10
    • 0011318798 scopus 로고
    • Les grands thèmes de François Châtelet
    • J.-L. Colliot-Thélène, Les grands thèmes de François Châtelet, Enseign. Math. 34 (1988), 387-405.
    • (1988) Enseign. Math. , vol.34 , pp. 387-405
    • Colliot-Thélène, J.-L.1
  • 11
    • 0001062159 scopus 로고
    • Descente et principe de Hasse pour certaines variétés rationnelles
    • J.-L. Colliot-Thélène, D. Coray et J.-J. Sansuc, Descente et principe de Hasse pour certaines variétés rationnelles, J. Reine Angew. Math. 320 (1980), 150-191.
    • (1980) J. Reine Angew. Math. , vol.320 , pp. 150-191
    • Colliot-Thélène, J.-L.1    Coray, D.2    Sansuc, J.-J.3
  • 12
    • 84972551662 scopus 로고
    • La descente sur les variétés rationnelles, II
    • J.-L. Colliot-Thélène et J.-J. Sansuc, La descente sur les variétés rationnelles, II, Duke Math. J. 54 (1987), 375-492.
    • (1987) Duke Math. J. , vol.54 , pp. 375-492
    • Colliot-Thélène, J.-L.1    Sansuc, J.-J.2
  • 14
    • 0001940034 scopus 로고
    • J.-L. Colliot-Thélène, J.-J. Sansuc and Sir P. Swinnerton-Dyer, Intersections of two quadrics and Châtelet surfaces, J. Reine Angew. Math. 373 (1987), 37-107; 374 (1987), 72-168.
    • (1987) J. Reine Angew. Math. , vol.374 , pp. 72-168
  • 15
    • 0001085485 scopus 로고
    • Groupe de Chow des zéro-cycles sur les fibrés en quadriques
    • J.-L. Colliot-Thélène et A. N. Skorobogatov, Groupe de Chow des zéro-cycles sur les fibrés en quadriques, K-Theory 7 (1993), 477-500.
    • (1993) K-Theory , vol.7 , pp. 477-500
    • Colliot-Thélène, J.-L.1    Skorobogatov, A.N.2
  • 16
    • 0001867279 scopus 로고
    • Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties
    • J.-L. Colliot-Thélène and Sir P. Swinnerton-Dyer, Hasse principle and weak approximation for pencils of Severi-Brauer and similar varieties, J. Reine Angew. Math. 453 (1994), 49-112.
    • (1994) J. Reine Angew. Math. , vol.453 , pp. 49-112
    • Colliot-Thélène, J.-L.1    Swinnerton-Dyer, P.2
  • 17
    • 0011279702 scopus 로고
    • Ph.D. thesis, Trinity College, Cambridge
    • D. Coray, Arithmetic on cubic surfaces, Ph.D. thesis, Trinity College, Cambridge, 1974, 66 pp.
    • (1974) Arithmetic on Cubic Surfaces , pp. 66
    • Coray, D.1
  • 18
    • 0011325066 scopus 로고
    • Algebraic points on cubic hypersurfaces
    • _, Algebraic points on cubic hypersurfaces, Acta Arith. 30 (1976), 267-296.
    • (1976) Acta Arith. , vol.30 , pp. 267-296
  • 19
    • 0011318799 scopus 로고
    • On a problem of Pfister about intersections of three quadrics
    • _, On a problem of Pfister about intersections of three quadrics, Arch. Math. 34 (1980), 403-411.
    • (1980) Arch. Math. , vol.34 , pp. 403-411
  • 20
    • 0011357422 scopus 로고
    • A remark on systems of quadratic forms
    • Quadratische Formen, 18.5-23.5.1981
    • _, A remark on systems of quadratic forms, in: Math. Forschungsinstitut Oberwolfach, Tagungsbericht 22/1981: Quadratische Formen, 18.5-23.5.1981, 8-9.
    • (1981) Math. Forschungsinstitut Oberwolfach, Tagungsbericht , vol.22 , pp. 8-9
  • 21
    • 84963036426 scopus 로고
    • Arithmetic on singular Del Pezzo surfaces
    • D. Coray and M. A. Tsfasman, Arithmetic on singular Del Pezzo surfaces, Proc. London Math. Soc. 57 (1988), 25-87.
    • (1988) Proc. London Math. Soc. , vol.57 , pp. 25-87
    • Coray, D.1    Tsfasman, M.A.2
  • 22
    • 51649172369 scopus 로고
    • Les conjectures de Weil, I
    • P. Deligne, Les conjectures de Weil, I, Publ. Math. I.H.E.S. 43 (1974), 273-307.
    • (1974) Publ. Math. I.H.E.S. , vol.43 , pp. 273-307
    • Deligne, P.1
  • 24
  • 27
    • 0011278472 scopus 로고
    • Application of the conjecture on the Manin obstruction to various diophantine problems
    • D. Kanevsky, Application of the conjecture on the Manin obstruction to various diophantine problems, Journées Arithmétiques de Besançon, Astérisque 147-148 (1987), 307-314.
    • (1987) Journées Arithmétiques de Besançon, Astérisque , vol.147-148 , pp. 307-314
    • Kanevsky, D.1
  • 29
    • 0001018621 scopus 로고
    • Number of points of varieties in finite fields
    • S. Lang and A. Weil, Number of points of varieties in finite fields, Amer. J. Math. 76 (1954), 819-827.
    • (1954) Amer. J. Math. , vol.76 , pp. 819-827
    • Lang, S.1    Weil, A.2
  • 30
    • 0001396112 scopus 로고
    • Duality theorems for curves over p-adic fields
    • S. Lichtenbaum, Duality theorems for curves over p-adic fields, Invent. Math. 7 (1969), 120-136.
    • (1969) Invent. Math. , vol.7 , pp. 120-136
    • Lichtenbaum, S.1
  • 31
    • 0004263816 scopus 로고
    • Nauka, Moscow, (in Russian); English transl.: North-Holland, Amsterdam, 1980
    • Yu. I. Manin, Cubic Forms, Nauka, Moscow, 1972 (in Russian); English transl.: North-Holland, Amsterdam, 1980.
    • (1972) Cubic Forms
    • Manin, Yu.I.1
  • 34
    • 0003807599 scopus 로고
    • Princeton Univ. Press, Princeton, N.J.
    • J. S. Milne, Étale Cohomology, Princeton Univ. Press, Princeton, N.J., 1980.
    • (1980) Étale Cohomology
    • Milne, J.S.1
  • 37
    • 0011361963 scopus 로고
    • Inst. Pesq. Mat., Univ. São Paulo
    • P. Samuel, Anneaux factoriels, Inst. Pesq. Mat., Univ. São Paulo, 1963.
    • (1963) Anneaux Factoriels
    • Samuel, P.1
  • 38
    • 0000743607 scopus 로고
    • About Euclidean rings
    • _, About Euclidean rings, J. Algebra 19 (1971), 282-301.
    • (1971) J. Algebra , vol.19 , pp. 282-301
  • 40
    • 0003534041 scopus 로고
    • Presses Univ. France, Paris
    • _, Cours d'arithmétique, Presses Univ. France, Paris, 1970.
    • (1970) Cours d'Arithmétique
  • 42
    • 0000926576 scopus 로고
    • Sur les formes quadratiques d'indice zéro
    • T. A. Springer, Sur les formes quadratiques d'indice zéro, C. R. Acad. Sci. Paris 234 (1952), 1517-1519.
    • (1952) C. R. Acad. Sci. Paris , vol.234 , pp. 1517-1519
    • Springer, T.A.1
  • 43
    • 0000918150 scopus 로고
    • Quadratic forms over fields with a discrete valuation
    • _, Quadratic forms over fields with a discrete valuation, Indag. Math. 17 (1955), 352-362.
    • (1955) Indag. Math. , vol.17 , pp. 352-362
  • 45
    • 0000437752 scopus 로고
    • Über ein gegenbeispiel zum normensatz
    • E. Witt, Über ein Gegenbeispiel zum Normensatz, Math. Z. 39 (1935), 462-467.
    • (1935) Math. Z. , vol.39 , pp. 462-467
    • Witt, E.1


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