For a Zariski general (regular) hypersurface $V$ of degree $M$ in the$(M+1)$-dimensional projective space, where $M$ is at least 16, with at mostquadratic singularities of rank at least 13, we give a complete description ofthe structures of rationally connected (or Fano-Mori) fibre space: every suchstructure over a positive-dimensional base is a pencil of hyperplane sections.This implies, in particular, that $V$ is non-rational and its groups ofbirational and biregular automorphisms coincide. The set of non-regularhypersurfaces has codimension at least $rac12(M-11)(M-10)-10$ in the naturalparameter space.
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机译：对于Zariski General（常规）高度为$ m $ v $ m $ m $ m $ - 维度投影空间，其中$ m $至少16次，在班级的额定奇异度至少13，我们提供合理连接（或FANO-MORI）光纤空间结构的完整描述：正尺寸基础上的每个结构都是超平面部分的铅笔。这意味着，特别是$ V $是非理性及其组二核苷酸和双边同一性一致。该组非正常脉冲覆盖物具有至少$ FRAC12（M-11）（M-10）-10 $的CODIMINUSINUSING。
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