Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
| Title: | Projective klt pairs with nef anti-canonical divisor and RC fibrations |
| Speaker: | Prof. Shin-ichi Matsumura (Tohoku University) |
| Time: | 2018-8-29, 10:00-11:00 |
| Place: | N820 |
| Abstract: | The famous result of Kollar-Miyaoka-Mori and Campana says that any Fano variety is rationally connected. Hacon-McKernan gave a conjecture which asks a relation between the geometry of rational curves and positivity of nef anti-canonical bundle for projective manifolds with klt singularities. Ejiri-Gongyo recently proved Hacon-McKernan's conjecture. In this talk, I will give a sharper inequality than the conjecture posed by Hacon-McKernan and proved by Ejiri-Gongyo, by using positively curved singular hermitian metrics on direct image sheaves.This is a joint work with Junyan Cao (Institut de Mathematiques de Jussieu). |
| Attachment: |
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