The Hilbert function of the union of n general e-fold points in the plane is maximal if n ≥ 4e2 or n is a square. The Hilbert function of a union of A, D, E singularity schemes in general position is maximal in every degree > 28. The proofs use a computation of limits of families of linear systems whose special members acquire base divisors, an interesting problem in itself. ©2013 American Mathematical Society.
|Journal||Transactions of the American Mathematical Society|
|Publication status||Published - 1 Jan 2014|