Projective varieties with strictly nef anticanonical divisor
Speaker: Wenhao Ou (AMSS, CAS)

Time: 15h15, Friday, 31/12/20211

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Meeting ID: 896 0321 0669
Passcode: 340252

Abstract: A conjecture of Campana-Peternell presumes that, if the anticanonical divisor of a projective variety X has strictly positive intersection with all curves, then the manifold is Fano. We show that if X is klt, then it is rationally connected. This provides an evidence to the conjecture. Furthermore, if the dimension is at most three, then we prove that X is Fano. This is joint with Jie Liu, Juanyong Wang, Xiaokui Yang and Guolei Zhong.

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