Birational geometry of singular Fano hypersurfaces of index two
Birational geometry of singular Fano hypersurfaces of index two
For a Zariski general (regular) hypersurface V of degree M in the $$(M+1)$$-dimensional projective space, where $$M\geqslant 16$$, with at most quadratic singularities of rank $$\geqslant 13$$, we give a complete description of the structures of rationally connected (or Fano-Mori) fibre space: every such structure over a positive-dimensional base is …