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Pointless Hyperelliptic Curves

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 $(g,q)$.

5 nodes4 linksoverview mapPointless Hyperelliptic Curves
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Pointless Hyperelliptic Curves5 visible / 5 total nodes / 5 links
Co-authorshipAuthorshipAuthorshipTopic signalTopic signalWPointless Hyperelliptic Curvespreprint / 2012ARyan BeckerResearcherADarren GlassResearcherTmath.NT5493 worksTmath.AG5393 works
PaperSignal 104 links

Pointless Hyperelliptic Curves

preprint / 2012

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