Computation of the first Chow group of a Hilbert scheme of space curves
An earlier wrong formula for the dimension of the first Chow group of a Hilbert scheme of space curves is corrected.
math.AG↗
arXiv subjects
Gerd Gotzmann
Publications and source records attributed to Gerd Gotzmann.
Some geometric properties of Hilbert schemes of space curves
Let $H$ be the Hilbert scheme of curves in complex projective $3$-space, with $d\geq 3$ and genus $g \leq (d-2)^2/4$. A complete, explicit description of the cone of curves and the ample cone of $H$ is given. From this, partial results on the group $\mathop{Aut}(H)$ are deduced.
math.AG↗
The irreducible components of Hilb^{4n}(P^3)
It is shown that Hilb^{4n}(P^3)has exactly two irreducible components.
math.AG↗