Birationally rigid Fano hypersurfaces with isolated singularities

Abstract

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.

21 pages, LATeX

Cited by in corpus (1)

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