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arxiv: math/0106110 · v1 · pith:IEEFYNQNnew · submitted 2001-06-13 · 🧮 math.AG

Birationally rigid Fano hypersurfaces with isolated singularities

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keywords birationallyfanogeneralisolatedrigidsingularitiesbirationalcannot
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It is proved that a general Fano hypersurface of index 1 (in the projective space) with isolated singularities of general position is birationally rigid. Therefore it cannot be fibered into uniruled varieties of a smaller dimension by a rational map. The group of birational self-maps is either trivial or cyclic of order two.

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