Resumen de On the existence of k-normal curves of given degree and genus in projective spaces

N. Chiarli, Edoardo Ballico, Silvio Greco

• We find some ranges for the $4$-tuples of integers $(d, g, n, r)$ for which there is a smooth connected non-degenerate curve of degree $d$ and genus $g$, which is $k$-normal for every $k\leq r$.