3 papers
math.AG2003
On submaximal plane curves
Joaquim Roé
We prove that a submaximal plane curve (i.e., an irreducible counterexample to Nagata's conjecture) with r singular points has sequence of multiplicities (m, n, ..., n) with m<sn f…
math.AG2001
Hilbert functions and resolutions for ideals of n = s^2 fat points in P2
Brian Harbourne, Joaquim Roé
Conjectures for the Hilbert function of the m-th symbolic power of the ideal of n general points of P2 are verified for infinitely many m for each square n > 9, using an approach d…
math.AG2001
Linear systems with multiple base points in P2
Brian Harbourne, Joaquim Roé
Given positive integers , and general points of , bounds are given for the least degree among plane curves passing through each point…