Birationally rigid Fano hypersurfaces with isolated singularities
Algebraic Geometry
2015-06-26 v1
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.
Keywords
Cite
@article{arxiv.math/0106110,
title = {Birationally rigid Fano hypersurfaces with isolated singularities},
author = {Aleksandr V. Pukhlikov},
journal= {arXiv preprint arXiv:math/0106110},
year = {2015}
}
Comments
21 pages, LATeX