On the birational geometry of sextic threefold hypersurface in $\mathbf{P}(1,1,2,2,3)$

Abstract

We investigate birational properties of hypersurfaces of degree $6$ in the weighted projective space $\mathbf{P}(1,1,2,2,3)$. In particular, we prove that any such quasi-smooth hypersurface is not rational.

16 pages, revised version

References in corpus (1)

• On the birational geometry of $\mathbf{Q}$-Fano threefolds of large Fano index, I