中科院数学与系统科学研究院
数学研究所
学术报告
多复变与复几何研讨班
SCV&CG Seminar
报告人：曲炳钢（北京大学）
题 目：Arithmetic Demailly approximation theorem
时 间：2024.12.03（星期二）10:00-11:00
地 点：思源楼525
摘 要：Demailly approximation is a useful technique in complex geometry. We develop an arithmetic analogue in Arakelov geometry. It serves as an arithmetic Bertini type theorem. As an application, we prove half of a conjecture of Xinyi Yuan that an adelic line bunde is pseudo-effective if and only if its induced height function has non-negative essential minimum. This is a joint work with Hang Yin.