Add to ORKGAbstract. We show that the dimension of any component of the Hilbert scheme of space curves (of degree d) is bounded below by 4d. We find components where the general point represents a nonlocally Cohen-Macaulay curve which is not a disjoint union of a locally Cohen-Macaulay curve and a zero dimensional scheme. Introduction. We wish to study the dimensions of the irreducible compo-nents of the Hilbert scheme of curves in P3. It is well known that any component of the Hilbert scheme which parametrizes smooth curves in P3 has dimension 4d, where d is the common degree of the curves. This result can be gener-alized to the case where the curves are locally Cohen-Macaulay. The argumen
We classify the irreducible components of the Hilbert scheme of $n$ points on non-reduced algebraic ...
The possible degrees for the generators of an irreducible arithmetically Cohen Macaulay curve of P3 ...
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 review the present state of the problem, for each degree $d$ and genus $g$, is the Hilbert scheme...
Let $H_{d,g}$ denote the Hilbert scheme of locally Cohen-Macaulay curves of degree $d$ and genus $g$...
We study maximal families W of the Hilbert scheme, H(d, g)sc, of smooth connected space curves whose...
In this paper we characterize the degree 4 multiple lines with generic embedding dimension 3 and amo...
Abstract: Modifying Mumford’s example, we construct a generically non-reduced component of the Hilbe...
We study the Hilbert scheme of non degenerate locally Cohen-Macaulay projective curves with general ...
Summary of talks. We consider space curves X with homogeneous ideal I and Rao module M which often s...
We describe the natural geometry of Hilbert schemes of curves in ℙ3and, in some cases, in ℙn, n ≥ 4
AbstractDenoting by J′(d, g, 3) the subscheme of the Hubert scheme, whose general point corresponds ...
AbstractWe check that the Hilbert scheme, Hd,g, of smooth and connected curves of degree d and genus...
We analyze the degree reverse lexicographic generic initial ideals of locally CohenMacaulay space cu...
We classify the irreducible components of the Hilbert scheme of $n$ points on non-reduced algebraic ...
The possible degrees for the generators of an irreducible arithmetically Cohen Macaulay curve of P3 ...
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 review the present state of the problem, for each degree $d$ and genus $g$, is the Hilbert scheme...
Let $H_{d,g}$ denote the Hilbert scheme of locally Cohen-Macaulay curves of degree $d$ and genus $g$...
We study maximal families W of the Hilbert scheme, H(d, g)sc, of smooth connected space curves whose...
In this paper we characterize the degree 4 multiple lines with generic embedding dimension 3 and amo...
Abstract: Modifying Mumford’s example, we construct a generically non-reduced component of the Hilbe...
We study the Hilbert scheme of non degenerate locally Cohen-Macaulay projective curves with general ...
Summary of talks. We consider space curves X with homogeneous ideal I and Rao module M which often s...
We describe the natural geometry of Hilbert schemes of curves in ℙ3and, in some cases, in ℙn, n ≥ 4
AbstractDenoting by J′(d, g, 3) the subscheme of the Hubert scheme, whose general point corresponds ...
AbstractWe check that the Hilbert scheme, Hd,g, of smooth and connected curves of degree d and genus...
We analyze the degree reverse lexicographic generic initial ideals of locally CohenMacaulay space cu...
We classify the irreducible components of the Hilbert scheme of $n$ points on non-reduced algebraic ...
The possible degrees for the generators of an irreducible arithmetically Cohen Macaulay curve of P3 ...
We continue the study of maximal families W of the Hilbert scheme, H(d,g)_{sc}, of smooth connected ...