On the extension theorem of Hwang and Mok
Let \(X\) and \(X^{\prime}\) be Fano manifolds of Picard number 1. Let \(U \subset X\) and \(U^{\prime} \subset X^{\prime}\) be open connected subsets and \(\phi : U \rightarrow U^{\prime}\) be a biholomorphism. In [\textit{J.-M. Hwang} and \textit{N. Mok}, J. Math. Pures Appl. (9) 80, No. 6, 563--575 (2001; Zbl 1033.32013)] conditions were obtained under which the map \(\phi\) extends to a biholomorphism \(\bar{\phi} : X \rightarrow X^{\prime}\). The methods used in that paper were coming both from algebraic geometry and complex differential geometry. This paper obtains a characteristic free analog of the aforementioned result of Hwang and Mok.
scientific article; zbMATH DE number 6950101
scientific article