24 citations · 26 across the 5 of their papers we have counts for
3 papers · 1 filter
Discrete behavior of Seshadri constants on surfaces
Brian Harbourne, Joaquim Roe
Working over C, we show that, apart possibly from a unique limit point, the possible values of multi-point Seshadri constant for general points on smooth projective surfaces form a…
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…