Interpolation problems: Del Pezzo surfaces

Abstract

We consider the problem of interpolating projective varieties through points and linear spaces. We show that del Pezzo surfaces satisfy weak interpolation.

Interpolation for Brill–Noether space curves

“…The generalization to Brill-Noether curves in P r (with appropriate choice of n) was answered in the nonspecial range in [2]. Interpolation problems for higher dimensional varieties were studied in [10], [11], and [4].…”

Interpolation of Varieties of Minimal Degree

“…If X is a projective variety lying on a unique irreducible Date: September 24, 2018. component of the Hilbert scheme, denoted H X , then we say X satisfies interpolation if H X does. Although this description of interpolation, given in [LP16b,Theorem A.7(9)], is the most classical one, there are at least twenty two equivalent descriptions of interpolation under moderate hypotheses, as described in [LP16b,Theorem A.7].…”