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arxiv: 1902.03672 · v2 · pith:A765JI5Cnew · submitted 2019-02-10 · 🧮 math.AC · math.AG

The a-number of Certain Hyperelliptic Curves

classification 🧮 math.AC math.AG
keywords certaincurveshyperellipticnumbercomputecorrespondingcurveequation
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In this paper, we compute a formula for the $a$-number of certain hyperelliptic curves given by the equation $y^2= x^m+1$ for infinitely many values of $m$. The same question is studied for the curve corresponding to $y^2= x^m+x$.

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