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math.AG1999
On Nagata's Conjecture
Brian Harbourne
Modifying an approach of J. Roe, this paper gives an improved lower bound on the degrees d such that for general points p1,...,pn in P2 and m > 0 there is a plane curve of degree d…
math.AG1999
Resolutions of Ideals of Uniform Fat Point Subschemes of P^2
Brian Harbourne, Sandeep Holay, Stephanie Fitchett
Let I be the ideal corresponding to a set of general points . There recently has been progress in showing that a naive lower bound for the Hilbert functions of…