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On structures and discrepancies of klt Calabi-Yau pairs

来源: 11-21

时间:Fri., 15:30-16:30, Nov. 22, 2024

地点:B725, Shuangqing Complex Building A

组织者:Caucher Birkar,贾甲

主讲人:Junpeng Jiao

Algebraic Geometry Seminar

Organizers:

Caucher Birkar,贾甲


Speaker:

Junpeng Jiao (YMSC)

Time:

Fri., 15:30-16:30, Nov. 22, 2024

Venue:

B725, Shuangqing Complex Building A

Online:

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

Title:

On structures and discrepancies of klt Calabi-Yau pairs


Abstract:

In this talk I will show that the discrepancies of log centers of all klt Calabi--Yau varieties with fixed dimension are in a finite set. I also show how minimal model program facilitates to construct rationally connected fibration structures on log Calabi--Yau pairs. This provides an alternative proof of Cao--H\"oring's structure theorem for Calabi--Yau cases.

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