Circle of Sarkisov links on a Fano $3$-fold

Hamid Abban, Francesco Zucconi

For a general Fano $3$-fold of index $1$ in the weighted projective space $\mathbb{P}(1,1,1,1,2,2,3)$ we construct $2$ new birational models that are Mori fibre spaces, in the fram…