On the distribution of rational points on certain Kummer surfaces

• Autorzy: Atsushi Sato
• Języki publikacji: EN

Kategorie tematyczne

• 11G35: Varieties over global fields
• 14J28: K 3 surfaces and Enriques surfaces
• 14G25: Global ground fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 86
• Numer: 1
• Strony: 1-16

Daty

wydano

1998

otrzymano

1996-09-26

poprawiono

1998-02-20

Twórcy

autor

Atsushi Sato

• Mathematical Institute, Tohoku University, Sendai 980-8578, Japan

Bibliografia

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• [Bi] H. Billard, Propriétés arithmétiques d'une famille de surfaces K3, Compositio Math. 108 (1997), 247-275.
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• [CS2] G. S. Call and J. H. Silverman, Computing the canonical height on K3 surfaces, Math. Comp. 65 (1996), 259-290.
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• [L] S. Lang, Fundamentals of Diophantine Geometry, Springer, New York, 1983.
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• [Mo] Y. Morita, Remarks on a conjecture of Batyrev and Manin, preprint.
• [MS] Y. Morita and A. Sato, Distribution of rational points on hyperelliptic surfaces, Tôhoku Math. J. 44 (1992), 345-358.
• [N] A. Néron, Quasi-fonctions et hauteurs sur les variétés abéliennes, Ann. of Math. 82 (1965), 249-331.
• [Sc] S. H. Schanuel, Heights in number fields, Bull. Soc. Math. France 107 (1979), 433-449.
• [S1] J. H. Silverman, Integral points on curves and surfaces, in: Number Theory (Ulm, 1987), H. P. Schlickewei and E. Wirsing (eds.), Lecture Notes in Math. 1380, Springer, New York, 1989, 202-241.
• [S2] J. H. Silverman, Rational points on K3 surfaces: A new canonical height, Invent. Math. 105 (1991), 347-373.
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• [W] L. Wang, Rational points and canonical heights on K3-surfaces in ℙ¹ × ℙ¹ × ℙ¹, in: Recent Developments in the Inverse Galois Problem, M. D. Fried et al. (eds.), Contemp. Math. 186, Amer. Math. Soc., Providence, R.I., 1995, 273-289.