G. Caviglia

activity

20032026

most citedOn the notion of sequentially Cohen-Macaulay modules

9 citations · 56 across the 26 of their papers we have counts for

collaborators

Showing 2006Show all

3 papers · 1 filter

math.AC2006

Some cases of the Eisenbud-Green-Harris conjecture

Giulio Caviglia, Diane Maclagan

The Eisenbud-Green-Harris conjecture states that a homogeneous ideal in k[x_1,...,x_n] containing a homogeneous regular sequence f_1,...,f_n with deg(f_i)=a_i has the same Hilbert…

math.AC2006

Some Ideals with Large Projective Dimension

Giulio Caviglia, Manoj Kummini

For an ideal $I$ in a polynomial ring over a field, a monomial support of $I$ is the set of monomials that appear as terms in a set of minimal generators of $I$ . Craig Huneke asked…

math.AC2006★ 3 cited

The pinched Veronese is Koszul

Giulio Caviglia

In this paper we prove that the coordinate ring of the pinched Veronese (i.e $k [X^{3}, X^{2} Y, X Y^{2}, Y^{3}, X^{2} Z, Y^{2} Z, X Z^{2}, Y Z^{2}, Z^{3}] \subset k [X, Y, Z]$ ) is Koszul. The strategy of the proof is…