Logarithmic Akizuki-Nakano vanishing theorems on weakly pseudoconvex Kahler manifolds

讲座时间 Datetime: 2022年7月29日，星期五，15:00-16:00

地点 Venue: 腾讯线上会议：604664415

主持人 Host：邵国宽

报告人 Speaker: 邹勇攀

单位 Affiliation:武汉大学

报告摘要 Abstract:

In this talk, I will present my recent work on the logarithmic vanishing theorem on weakly pseudoconvex Kahler manifolds. To be specific, let X be an n-dimensional weakly pseudoconvex Kahler manifold and F be a positive line bundle on X. Let D be a simple normal crossing divisor on X. Then we have H^q(X, K_X⊗O(D)⊗F) = 0 for any q > 0. Our method is the combining of L^2 technique and Runge-type approximation method.