Interpolation Problems: Del Pezzo Surfaces

TL;DR

This paper investigates the problem of interpolating projective varieties through points and linear spaces, demonstrating that del Pezzo surfaces satisfy weak interpolation, thus contributing to the understanding of interpolation properties of algebraic surfaces.

Contribution

The paper proves that del Pezzo surfaces satisfy weak interpolation, providing new insights into their geometric properties and interpolation behavior.

Findings

Del Pezzo surfaces satisfy weak interpolation.

The study advances understanding of interpolation for algebraic surfaces.

Provides methods applicable to other classes of projective varieties.

Abstract

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