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8 papers · 1 filter
Betti numbers for fat point ideals in the plane: a geometric approach
Alessandro Gimigliano, Brian Harbourne, Monica Idà
We consider the open problem of determining the graded Betti numbers for fat point subschemes supported at general points of the projective plane. We relate this problem to the ope…
The role of the cotangent bundle in resolving ideals of fat points in the plane
Alessandro Gimigliano, Brian Harbourne, Monica Idà
We study the connection between the generation of a fat point scheme supported at general points in the plane and the behaviour of the cotangent bundle with respect to some rationa…
On the ideals of Secant Varieties to certain rational varieties
M. V. Catalisano, A. V. Geramita, A. Gimigliano
If $\X \subset ¶^n$ is a reduced and irreducible projective variety, it is interesting to find the equations describing the (higher) secant varieties of $\X$. In this paper we find…
Equivariant K-Theory of Smooth Toric Varieties
Silvano Baggio
We characterize the smooth toric varieties for which the Merkurjev spectral sequence, connecting equivariant and ordinary K-theory, degenerates. We find under which conditions on t…
Even sets of four nodes on rational surfaces
Alberto Calabri, Ciro Ciliberto, Margarida Mendes Lopes
We describe smooth rational projective algebraic surfaces X, over an algebraically closed field of characteristic different from 2, having an even set of four disjoint (-2)-curves…
Osculating Varieties of Veronesean and their higher secant varieties
A. Bernardi, M. V. Catalisano, A. Gimigliano +1
We consider the varieties of the k-osculating spaces to the Veronese varieties, the uple embeddings of $\PP n$; we study the dimension of their higher secant variet…