Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Dr. Ya Deng, University of Gothenburg
Strong positivity of the logarithmic cotangent bundles
Time & Venue:
2019.8.29 16:00-17:00 C110
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.
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