Rationality of $\mathbb{Q}$-Fano threefolds of large Fano index

Abstract

We prove that $\mathbb{Q}$-Fano threefolds of Fano index $\ge 8$ are rational.

arXiv comment21 pages, LaTeX

References in corpus (4)

• Fano 3-folds in codimension 4, Tom and Jerry, Part I
• On Fano indicies of Q-Fano 3-folds
• Constructing Fano 3-folds from cluster varieties of rank 2
• On Q-Fano threefolds of Fano index 2