Birationally rigid hypersurfaces with quadratic singularities of low rank
Abstract
It is shown that hypersurfaces of degree M in PM, M≥slant 5, with at most quadratic singularities of rank at least 3, satisfying certain conditions of general position, are birationally superrigid Fano varieties and the complement to the set of such hypersurfaces is for M≥slant 8 of codimension at least M-1 2 + 1 with respect to the natural parameter space.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.