中科院数学与系统科学研究院
数学研究所
学术报告
微分几何研讨班
报告人：李驰教授（罗格斯大学）
题 目： Kahler structures for holomorphic submersions
时 间：2024.07.18（星期四）14:00-15:00
地 点：数学院南楼N818
摘 要：We prove a criterion for the existence of Kahler structure for any holomorphic submersion. This criterion generalizes Blanchard's criterion for the isotrivial case and is a converse to Blanchard-Deligne’s result on degeneration of Leray spectral sequences. We then discuss its application to a question of Harvey-Lawson in the case of fiber dimension one and to the existence of Hermitian-Symplectic structures. Some open question about singular fibrations will also be discussed.
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