Postulation of Unions of Tangent Vectors

Abstract

I collect here a few remarks on the postulation of sufficiently general unions of tangent vectors in linear systems on projective spaces and smooth quadric surface (in positive characteristic).

Postulation of General Unions of Decorated Lines

“…Let Z ⊂ P r be a general union of t tangent vectors. By [8,Lemma 1.4] or [12] (in characteristic zero) or if char(K) > k ( [7], Z imposes min{dim(V ), 2t} independent conditions to V .…”