On the birational geometry of Q-Fano threefolds of large Fano index, I

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1. 1Rational Curves on Coindex 3 Fano Varieties2024
2. 2An effective upper bound for Fano indices of canonical Fano threefolds, I2025
3. 3The moduli space of genus $8$ Fano $3$-folds with two $\frac{1}{2}(1,1,1)$-points is rational2024
4. 4Arithmetic and birational properties of linear spaces on intersections of two quadrics2025
5. 5Arithmetic and birational properties of linear spaces on intersections of two quadrics2024