On equivariant minimal model program of normal projective varieties admitting polarized endomorphisms

Dr. Meng Sheng
2018-07-25 15:30-16:30
N913

报告人:Dr.Meng Sheng(新加坡国立大学)

  目:On equivariant minimal model program of normal projective varieties admitting polarized endomorphisms

  间:2018.07.25(星期三),15:30-16:30

  点:数学院南楼N913

  要:Let X be a normal projective variety admitting a polarized or int-amplified endomorphism f. First, we list up characteristic properties of such an endomorphism. Second, we list up properties of these varieties from the aspects of their singularities, anti-canonical divisors and Kodaira dimensions. Third, we run the equivariant minimal model program relative to not just the single f but also the semigroup of all surjective endomorphisms of X, up to finite-index. Several applications are given.This is a joint work with De-Qi Zhang.