Titlebook: Arithmetic and Geometry; Papers Dedicated to Michael Artin,John Tate Book 1983 Springer Science+Business Media New York 1983 Multiplicatio

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Basilar-Artery

Conjectured Diophantine Estimates on Elliptic Curves,,..., ..} is a basis of .(.) modulo torsion. Explicit upper bounds for the heights of elements in such a basis are not known. The purpose of this note is to conjecture such bounds for a suitable basis. Indeed, .?.(.) is a vector space over . with a positive definite quadratic form given by the Néron