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arxiv: 1509.02247 · v1 · pith:C523MNOAnew · submitted 2015-09-08 · 🧮 math.AG

The second largest number of points of plane curves over finite fields

classification 🧮 math.AG
keywords finitecurvesfieldgivenlargestnumberplanepoints
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A basis of the ideal of the complement of a linear subspace in a projective space over a finite field is given. As an application, the second largest number of points of plane curves of degree $d$ over the finite field of $q$ elements is also given for $d\geq q+1$.

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