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arxiv: 1209.2984 · v1 · pith:HJNHIXIXnew · submitted 2012-09-13 · 🧮 math.NT · math.AG

Pointless Hyperelliptic Curves

Ryan Becker , Darren Glass This is my paper
classification 🧮 math.NT math.AG
keywords hyperellipticconsidercurvecurvesdefinedexistsgenuspairs
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In this paper we consider the question of whether there exists a hyperelliptic curve of genus $g$ which is defined over $\FF_q$ but has no rational points over $\FF_q$ for various pairs $(g,q)$.

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