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ELLIPTIC AND HYPERELLIPTIC CURVES OVER SUPERSIMPLE FIELDS
Published online by Cambridge University Press: 28 January 2004
Abstract
It is proved that if $F$ is an infinite field with characteristic different from $2$, whose theory is supersimple, and $C$ is an elliptic or hyperelliptic curve over $F$ with generic ‘modulus’, then $C$ has a generic $F$-rational point. The notion of generity here is in the sense of the supersimple field $F$.
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- The London Mathematical Society 2004
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