On smooth rationally connected projective threefolds of Picard number two admitting int‐amplified endomorphisms
Abstract
Abstract We prove that a smooth rationally connected projective threefold of Picard number two is toric if and only if it admits an int‐amplified endomorphism, thereby answering Fakhruddin's question affirmatively in dimension three and Picard number two. As a corollary, we show that a blowup‐equivariant smooth curve for a nonisomorphic surjective endomorphism of must be a line.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Algebraic Geometry and Number Theory
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 114
- Issue
- 1
- Publication date
- 1 July 2026
- Language
- EN