Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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ACM bundles on a general quartic threefold
Get PDFWe give a partial positive answer to a conjecture of Tyurin ([28]). Indeed we prove that on a general quintic hypersurface of P^4 every arithmetically Cohen-Macaulay rank 2 vector bundle is infinitesimally rigid
Complete intersection liaison and Gorenstein liaison: new results and open problems
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Analytic branches and hypersurface sections
Get PDFWe study the behaviour of analytic branches of a projective variety with respect to hypersurface sections and we give conditions under which their number and their orders are preserved
On the even Gorenstein liaison classes of ropes on a line
Get PDFWe describe the even Gorenstein liaison classes of ropes supported on a line which are not arithmetically Buchsbaum
Partial Gorenstein in codimension 3
Get PDFThe goal of the paper is to build particular three codimensional arithmetically Cohen-Macaulay subschemes of P^r , partial Gorenstein schemes, whose graded Betti numbers can be easily computed in terms of their combinatorial support. This approach permits to realize many Betti sequences of schemes with the same Hilbert function
The Hartshorne-Rao module of curves on rational normal scrolls
Get PDFWe study the Hartshorne-Rao module of curves lying on a rational normal scroll S_e of invariant e ≥ 0 in P^{e+3} .We calculate the Rao function, we characterize the aCM curves on S_e .Finally, we give an algorithm to check if a curve is aC M or not and, inthe second case, to calculate the Rao function
Fat points on a grid in P^2
Get PDFWe study homogeneous schemes of fat points in P^2 whose support is either a complete intersection (CI for short) constructed on an a × b grid or a CI minus a point