Nonsolidity of uniruled varieties

Abstract

We give conditions for a uniruled variety of dimension at least 2 to be nonsolid. This study provides further evidence to a conjecture by Abban and Okada on the solidity of Fano 3-folds. To complement our results we write explicit birational links from Fano 3-folds of high codimension embedded in weighted projective spaces.

Keywords

• 14E05
• 14E08
• 14E30
• 14J45