Birationally rigid Fano hypersurfaces with isolated singularities
classification
🧮 math.AG
keywords
birationallyfanogeneralisolatedrigidsingularitiesbirationalcannot
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.