The Lazarsfeld-Rao problem for Buchsbaum curves
Giorgio Bolondi, Juan C. Migliore (1989)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Giorgio Bolondi, Juan C. Migliore (1989)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Joshua Lesperance (2001)
Collectanea Mathematica
Similarity:
Despite the recent advances made in Gorenstein liaison, there are still many open questions for the theory in codimension ≥ 3. In particular we consider the following question: given two curves in P with isomorphic deficiency modules (up to shift), can they be evenly Gorenstein linked? The answer for this is yes for curves in P, due to Rao, but for higher codimension the answer is not known. This paper will look at large classes of curves in P with isomorphic deficiency modules and show...
Scott Nollet (1997)
Annales scientifiques de l'École Normale Supérieure
Similarity:
E. Ballico (1998)
Annales Polonici Mathematici
Similarity:
We prove a recent conjecture of S. Lvovski concerning the periodicity behaviour of top Betti numbers of general finite subsets with large cardinality of an irreducible curve C ⊂ ℙⁿ.
Rosa M. Miró-Roig (1992)
Publicacions Matemàtiques
Similarity:
Recall that a closed subscheme X ⊂ P is non-obstructed if the corresponding point x of the Hilbert scheme is non-singular. A geometric characterization of non-obstructedness is not known even for smooth space curves. The goal of this work is to prove that subcanonical k-Buchsbaum, k ≤ 2, space curves are non-obstructed. As a main tool we use Serre's correspondence between subcanonical curves and vector bundles.
Robin Hartshorne (2002)
Collectanea Mathematica
Similarity:
Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison of varieties of codimension 2 in projective space. In this paper we study points in P3 and curves in P4 in an attempt to see how far typical codimension 2 results will extend. While the results are satisfactory for small degree, we find in each case examples where we cannot decide the outcome. This examples are candidates for counterexamples to the hoped-for extensions...
Giorgio Bolondi, Jan O. Kleppe, Rosa Maria Miro-Roig (1991)
Compositio Mathematica
Similarity:
Scott Nollet, Enrico Schlesinger (2003)
Collectanea Mathematica
Similarity:
Let F be a smooth projective surface contained in a smooth threefold T, and let X be the scheme corresponding to the divisor 2F on T. A locally Cohen-Macaulay curve C included in X gives rise to two effective divisors on F, namely the largest divisor P contained in C intersection F and the curve R residual to C intersection F in C. We show that under suitable hypotheses a general deformation of R and P lifts to a deformation of C on X, and give applications to the study of Hilbert schemes...