Versions of injectivity and extension theorems

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• Yoshinori Gongyo (Imperial College/Tokyo)
• Wednesday 03 December 2014, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Caucher Birkar.

We give an analytic version of the injectivity theorem by using multiplier ideal sheaves, and prove some extension theorems for the adjoint bundle of dlt pairs. Moreover, by combining techniques of the minimal model program, we obtain some results for semi-ampleness related to the abundance conjecture in birational geometry.

This talk is part of the Algebraic Geometry Seminar series.

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