Explicit Sarkisov links are constructed for seven families of codimension-four prime Q-Fano threefolds, terminating in del Pezzo surface fibrations of degree one or (2,1)-type divisorial contractions to low-codimension weighted complete intersections.
Takagi, Classification of -Fano 3 -folds of Gorenstein index 2 via key varieties constructed from projective bundles, Internat
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Key variety construction of Sarkisov links for prime $\mathbb{Q}$-Fano threefolds of codimension four associated to Type ${\rm II}_{2}$ projections
Explicit Sarkisov links are constructed for seven families of codimension-four prime Q-Fano threefolds, terminating in del Pezzo surface fibrations of degree one or (2,1)-type divisorial contractions to low-codimension weighted complete intersections.