Finite defective subsets of projective spaces
Received: 12 July 2012
Accepted in revised form: 10 April 2013
Mathematics Subject Classification (2010): 14N05.
Keywords: Postulation of finite sets, Hilbert function, linearly general position.
Abstract: We study finite sets S ⊂ Pr such that h1(IS(m)) > 0 and either #(S) ≤ 4m+2r-15 or #(S) ≤mr+1 and a large subset of S is in linearly general position.