Finite morphisms onto Fano manifolds of large index
Dr. Feng Shao
2023-05-05 14:00-15:00
MCM110
Speaker: Dr. Feng Shao (Institute for Basic Science, South Korea)Time: 14:00-15:00 May 5, 2023 (Friday)
Place: MCM110
Title: Finite morphisms onto Fano manifolds of large index
Abstract I: Let f:Y→X be a finite morphism between Fano manifolds Y and X such that the Fano index of X is greater than 1. On the one hand, if both X and Y are fourfolds of Picard number 1, we show that the degree of f is bounded in terms of X and Y unless X is isomorphic to P^4; hence, such X does not admit any non-isomorphic surjective endomorphism. On the other hand, if X=Y is either a Fano fourfold or a del Pezzo manifold, we prove that, if f is an int-amplified endomorphism, then X is toric. It is a joint work with Guolei Zhong.
