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Non-solidity of uniruled varieties

2021/12/10 by Livia Campo, Campo, Livia, Tiago Duarte Guerreiro +1 · 1 citation
Mathematics · Social Sciences · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.2112.05461

openalex publication_date 2021/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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