Non-solidity of uniruled varieties

Abstract

We give conditions for a uniruled variety of dimension at least 2 to be non-solid. 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.

arXiv comment19 pages. 4 tables. 3 figures. To appear in "Forum of Mathematics, Sigma"