中国科学院数学与系统科学研究院

数学研究所

中国科学院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 吴晓俊 博士 （University of Bayreuth）

题  目：Compact Kähler Threefolds with Nef Anticanonical Line Bundles

时  间：2023.10.13（星期五），15:00-16:00

地  点：Zoom会议：870 9342 8475  密码：1013

摘  要：The classification of compact Kähler and projective manifolds with positive tangent or anticanonical bundles has been the focus of extensive research. Notably, the classification of projective manifolds with nef anticanonical line bundles has beensuccessfully achieved by Cao and H\"oring, resolving a long-standing problem. However, the analogous problem for compact Kähler manifolds remains a formidable challenge.In this presentation, I will discuss recent collaborative work with Matsumura that tacklesthe three-dimensional case. We employ the Compact Kähler Minimal Model Program in dimension three (as developed by Höring and Peternell) and the positivity properties of direct images following Cao-H\"oring which will be subject of my talk after a generalintroduction. Additionally, I will introduce the Serge current construction, a method I have developed, which plays a crucial role in our approach.