Analytic Bertini theorem
报告题目(Title)：Analytic Bertini theorem
报告人(Speaker)：夏铭辰 教授 （中国科学技术大学）
地点(Place)：后主楼1328
时间(Time)：2026年11月13日（周五）16:00-17:00
邀请人(Inviter)：汪志威
报告摘要
Given a base point-free linear system on a projective manifold X, a quasi-plurisubharmonic function Phi on X, the Ohsawa—Takegoshi extension theorem implies that the multiplier ideal of the restriction of the Phi to a smooth hyperplane is contained in the restriction of the multiplier ideal of Phi. We shall prove that the reverse inequality holds if the hyperplane is chosen in a generic manner. More generally, we show that similar results hold for a general fibration of complex manifolds, confirming a conjecture of Boucksom.
