Int-Amplified endomorphisms of compact Kähler spaces
Date/Time:29 Jan 2020 14:00Venue: S17 #05-11 SR5Speaker: Zhong Guolei, NUSInt-Amplified endomorphisms of compact Kähler spacesLet X be a normal compact Kähler space of dimension n. A surjective endomorphism f of such X is int-amplified if f *ξ – ξ = η for some Kähler classes ξ and η. First, we show that this definition generalizes the notation in the projective setting. Second, we prove that for the cases of X being smooth, a surface or a threefold with mild singularities, if X admits an int-amplified endomorphism with pseudo-effective canonical divisor, then it is a Q-torus. Finally, we consider a normal compact Kähler threefold Y with only terminal singularities and show that, replacing f by a positive power, we can run the minimal model program (MMP) f-equivariantly for such Y and reach either a Q-torus or a Fano (projective) variety of Picard number one.Add to calendar:
