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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

吴 磊 博士,美国Utah大学

Inviter:  
Title:
Isotriviality of smooth families of varieties of general type
Time & Venue:
2019.12.16 09:20-10:20 N219
Abstract:

Isotrivality of a family of algebraic varieties roughly means that all the fibers of the family are “almost” the same. I will talk about its relation with many big conjectures both from algebraic and analytic perspectives, for instance Iitaka conjecture, Viehweg’s hyperbolicity conjecture, Isotriviality conjecture of Campana and Green-Griffith-Lang conjecture. Then I will talk about isotriviality of smooth families of general type varieties. As a result, I will prove the generalized Kebekus-Kovacs conjecture for smooth families of general type varieties, which is a natural generalization of Viehweg’s hyperbolicity conjecture. This talk is based on the work joint with Chuanhao Wei.

 

 

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