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.
Appendix:
Copyright@2008, All Rights Reserved, Academy of Mathematics and Systems Science, CAS
Tel: 86-10-82541777 Fax: 86-10-82541972 E-mail: contact@amss.ac.cn