On the Hilbert Functions of Disjoint Unions of a Linear Space and Many Lines in P n
Edoardo Ballico · 2010
Abstract. Let A ⊂ Pn, n ≥ m + 2 ≥ 4, be an m-dimensional linear subspace. We show the existence of schemes X = AunionsqB ⊂ Pn with B disjoint union of lines and a certain prescribed Hilbert functions (not the general ones, but near the best ones). Mathematics Subject Classification: 14N05