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20152026
most citedThe Milnor number of a hypersurface singularity in arbitrary characteristic

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math.AG2026

Maximal singular curves over finite fields from elliptic and hyperelliptic curves

Cesar Hilario, Rodrigo Salomão, Renato Vidal Martins

We construct explicit families of maximal singular curves over finite fields. A maximal singular curve is a curve that attains the Aubry-Perret bound, which is the natural extensio…