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On a problem of Pfister about intersections of three quadrics. (English) Zbl 0426.14008

MSC:
14G05 Rational points
11E04 Quadratic forms over general fields
11E12 Quadratic forms over global rings and fields
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[2] A. Brumer, Remarques sur les couples de formes quadratiques. C. R. Acad. Sci. Paris286A, 679-681 (1978). · Zbl 0392.10021
[3] J. W. S. Cassels, On a problem of Pfister about systems of quadratic forms. Arch. Math.33, 29-32 (1979). · Zbl 0405.10016
[4] D. F. Coray, Algebraic points on cubic hypersurfaces. Acta Arithmetica30, 267-296 (1976). · Zbl 0294.14012
[5] Ju. I. Manin, Rational surfaces over perfect fields. Publ. Math. I.H.E.S.30, 55-113 (1966); English translation: Amer. Math. Soc. Transl. (2)84, 137-186 (1969).
[6] B. Saint-Donat, On Petri’s analysis of the linear system of quadrics through a canonical curve. Math. Ann.206, 157-175 (1973). · Zbl 0315.14010
[7] T. A. Springer, Sur les formes quadratiques d’indice zéro. C. R. Acad. Sci. Paris234, 1517-1519 (1952). · Zbl 0046.24303
[8] O.Zariski, Algebraic Surfaces, 2nd ed. Berlin-Heidelberg-New York 1971. · Zbl 0219.14020
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