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math.AG2023
New sextics of genus 6 and 10 attaining the Serre bound
Annamaria Iezzi, Motoko Qiu Kawakita, Marco Timpanella
We provide new examples of curves of genus 6 or 10 attaining the Serre bound. They all belong to the family of sextics introduced in [19] as a a generalization of the Wiman sextics…
math.AG2015
Optimal and maximal singular curves
Yves Aubry, Annamaria Iezzi
Using an Euclidean approach, we prove a new upper bound for the number of closed points of degree 2 on a smooth absolutely irreducible projective algebraic curve defined over the f…
math.AG2015
On the maximum number of rational points on singular curves over finite fields
Yves Aubry, Annamaria Iezzi
We give a construction of singular curves with many rational points over finite fields. This construction enables us to prove some results on the maximum number of rational points…