Birationally rigid Fano hypersurfaces with isolated singularities

Details Birationally rigid Fano hypersurfaces with isolated singularities Birationally rigid Fano hypersurfaces with isolated singularities

2001-06-13

arxiv.org/abs/math/0106110v1

Mathematics

Algebraic Geometry

21 pages, LATeX

Scientific paper

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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