2003/10/17 by Александр Валентинович Пухликов, Aleksandr V. Pukhlikov, Pukhlikov, Aleksandr V.
Mathematics · Physics and Astronomy · #14E05 #14E07 #14E08 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG #msc:14E05 #msc:14E07 #msc:14E08
paper · pdf · doi:10.48550/arxiv.math/0310270
37 pages
arxiv created 2003/10/17 · openalex publication_date 2003/10/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that a general Fano fibration π\colon V→ \mathbb P1, the fiber of which is a double Fano hypersurface of index 1, is birationally superrigid provided it is sufficiently twisted over the base. In particular, on V there are no other structures of a rationally connected fibration. The proof is based on the method of maximal singularities.