On the rationality of the period mapping

Andrew John Sommese

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Displaying similar documents to “On the rationality of the period mapping”

Holomorphic bijections of algebraic sets

Sławomir Cynk, Kamil Rusek (1997)

Annales Polonici Mathematici

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We prove that every holomorphic bijection of a quasi-projective algebraic set onto itself is a biholomorphism. This solves the problem posed in [CR].

Real algebraic spaces

Andrew John Sommese (1977)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Varieties whose hyperplane section are $ℙ_{ℂ}^{k}$ bundles

Maria Lucia Fania, Andrew John Sommese (1988)

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An extension of Schwick's theorem for normal families

Yasheng Ye, Xuecheng Pang, Liu Yang (2015)

Annales Polonici Mathematici

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In this paper, the definition of the derivative of meromorphic functions is extended to holomorphic maps from a plane domain into the complex projective space. We then use it to study the normality criteria for families of holomorphic maps. The results obtained generalize and improve Schwick's theorem for normal families.