Elliptic K3 Surfaces with Geometric Mordell¿Weil Rank 15

• Autores: Remke Kloosterman
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 2, 2007, págs. 215-226
• Idioma: inglés
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• Resumen

  • We prove that the elliptic surface y2 = x3 + 2(t8 + 14t4 + 1) x + 4t2 (t8 + 6t4 + 1) has geometric Mordell¿Weil rank 15. This completes a list of Kuwata, who gave explicit examples of elliptic K3-surfaces with geometric Mordell¿Weil ranks 0, 1, dots, 14, 16, 17, 18.