Academy of Mathematics and Systems Science, CAS Colloquia & Seminars | Speaker: | Dr. Ya Deng, University of Gothenburg | Inviter: | | Title: | Strong positivity of the logarithmic cotangent bundles | Time & Venue: | 2019.8.29 16:00-17:00 C110 | Abstract: | I will ?rst explain the “strongest positivity” which the logarithmic cotangent bundle of a log pair can possess. Then I will discuss a strategy to construct examples of log pairs whose log cotangent bundles have such strong positivity properties. These examples are constructed from any smooth n-dimensional complex projective varieties by considering the sum of at least n general su?ciently ample hypersurfaces. This result can be seen as a logarithmic counterpart of the Debarre conjecture, which was proved by Brotbek-Darondeau, Song-Yan Xie in 2015 independently. This work is jointly with Damian Brotbek. | | | |