Birational rigidity of complete intersections
Abstract
We prove that every smooth complete intersection X defined by s hypersurfaces of degree d1, ... , ds in a projective space of dimension d1 + ... + ds is birationally superrigid if 5s +1 is at most 2(d1 + ... + ds + 1)/sqrtd1...ds. In particular, X is non-rational and Bir(X)=Aut(X). We also prove birational superrigidity of singular complete intersections with similar numerical condition. These extend the results proved by Tommaso de Fernex.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.