Families of nodal curves in Pʳ with the expected number of moduli

الأصل · EN

Let Vʳd,g, δ be the Hilbert scheme of nodal curves in Pʳ of degree d and arithmetic genus g with δnodes. Under suitable numerical assumptions on d and g, for every 0 ≤ δ≤ g we construct an irreducible component of Vʳd,g, δ having the expected number of moduli.