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International Conference on Complex Analysis dedicated to the memory of Andrei Gonchar and Anatoliy Vitushkin
October 7, 2019 15:00–15:50, Moscow, Steklov Mathematical Institute of RAS, Conference hall, 9th floor
 


Applications of the $L^2$ method to analytic families

T. Ohsawa

Nagoya University, Graduate School of Mathematics
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T. Ohsawa
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Abstract: An $L^2$ vanishing theorem on complete Kähler manifolds will be recalled. It is a tool of solving the d-bar equation with $L^2$ estimates. Then it will be applied to prove the local triviality of a family of $\mathbb{C}$ whose total space carries a complete Kähler metric.

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