| Popis: |
We prove the following statement, which has been conjectured since 1985: There exists a constant K such that for all natural numbers d, g with $$g\leqslant Kd^{3/2}$$ there exists an irreducible component of the Hilbert scheme of $$\mathbb {P}^3$$ whose general element is a smooth, connected curve of degree d and genus g of maximal rank. |
