114 citations
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math.AG2003★ 8 cited
On linear systems of P^3 through multiple points
Cindy De Volder, Antonio Laface
In this paper we prove a conjecture about the dimension of linear systems of surfaces of degree d in P^3 through at most eight multiple points in general position.
math.AG2003★ 3 cited
Uniform bounds on multigraded regularity
Diane Maclagan, Gregory G. Smith
We give an effective uniform bound on the multigraded regularity of a subscheme of a smooth projective toric variety X with a given multigraded Hilbert polynomial. To establish thi…