Families of nodal curves in P^r with the expected number of moduli
arXiv:1306.1854 · doi:10.1007/s40574-014-0009-6
Abstract
Let V^{r}_{d,g, δ} be the Hilbert scheme of nodal curves in P^r of degree d and arithmetic genus g with δnodes. Under suitable numerical assumptions on d and g, for every 0 \le δ\le g we construct an irreducible component of V^{r}_{d,g, δ} having the expected number of moduli.
final version, to appear in Bollettino dell'Unione Matematica Italiana