Smooth images of products of projective spaces

Prof. Duo Li
2023-05-23 14:00-15:00
MCM410

Speaker: Prof. Duo Li (Sun Yat-sen University)
Time: 14:00-15:00  May 23, 2023 (Tuesday)
Place: MCM410
Title: Smooth images of products of projective spaces
Abstract: We consider a surjective morphism f: between smooth projective varieties. We show that if X is a product of k projective spaces and the Picard number of Y is k, then Y is a product of projective spaces. If X is a projective splitting vector bundle over a projective space and Y is a projective bundle over Z, then Z is a projective space and the bundle is a splitting vector bundle.