In this paper we prove that, for any n ≥ 3, there exist infinitely many r ∈ N and for each of them a smooth, connected curve Crin ℙrsuch that Crlies on exactly n irreducible components of the Hilbert scheme Hilb(ℙr). This is proven by reducing the problem to an analogous statement for the moduli of surfaces of general type
AbstractThis paper concerns the question of whether a more direct limit can be used to obtain the li...
Let $H_{d,g}$ denote the Hilbert scheme of locally Cohen-Macaulay curves of degree $d$ and genus $g$...
Abstract. We show that the dimension of any component of the Hilbert scheme of space curves (of degr...
In this paper we prove that, for any n ≥ 3, there exist infinitely many r ∈ N and for each of them a...
We continue the study of maximal families W of the Hilbert scheme, H(d,g)_{sc}, of smooth connected ...
Progress on the problem whether the Hilbert schemes of locally Cohen–Macaulay curves in P3 are conn...
We study maximal families W of the Hilbert scheme, H(d, g)sc, of smooth connected space curves whose...
Many important moduli spaces can be constructed as quotients of the Hilbert scheme by a group action...
Let I_{d,g,R} be the union of irreducible components of the Hilbert scheme whose general points para...
We describe the natural geometry of Hilbert schemes of curves in ℙ3and, in some cases, in ℙn, n ≥ 4
For any smooth surface S, the Hilbert scheme S^[n] parameterizing 0-dimensional length-n subschemes ...
In this paper we characterize the degree 4 multiple lines with generic embedding dimension 3 and amo...
AbstractThis paper concerns the question of whether a more direct limit can be used to obtain the li...
Let $H_{d,g}$ denote the Hilbert scheme of locally Cohen-Macaulay curves of degree $d$ and genus $g$...
Abstract. We show that the dimension of any component of the Hilbert scheme of space curves (of degr...
In this paper we prove that, for any n ≥ 3, there exist infinitely many r ∈ N and for each of them a...
We continue the study of maximal families W of the Hilbert scheme, H(d,g)_{sc}, of smooth connected ...
Progress on the problem whether the Hilbert schemes of locally Cohen–Macaulay curves in P3 are conn...
We study maximal families W of the Hilbert scheme, H(d, g)sc, of smooth connected space curves whose...
Many important moduli spaces can be constructed as quotients of the Hilbert scheme by a group action...
Let I_{d,g,R} be the union of irreducible components of the Hilbert scheme whose general points para...
We describe the natural geometry of Hilbert schemes of curves in ℙ3and, in some cases, in ℙn, n ≥ 4
For any smooth surface S, the Hilbert scheme S^[n] parameterizing 0-dimensional length-n subschemes ...
In this paper we characterize the degree 4 multiple lines with generic embedding dimension 3 and amo...
AbstractThis paper concerns the question of whether a more direct limit can be used to obtain the li...
Let $H_{d,g}$ denote the Hilbert scheme of locally Cohen-Macaulay curves of degree $d$ and genus $g$...
Abstract. We show that the dimension of any component of the Hilbert scheme of space curves (of degr...