An analogue of Yi's theorem to holomorphic mappings

Manabu Shirosaki; Masatsugu Ueda

doi:10.3792/pjaa.76.1

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Jan. 2000 An analogue of Yi's theorem to holomorphic mappings

Manabu Shirosaki, Masatsugu Ueda

Proc. Japan Acad. Ser. A Math. Sci. 76(1): 1-3 (Jan. 2000). DOI: 10.3792/pjaa.76.1

Abstract

This paper gives pairs of explicit hypersurfaces $(S_1, S_2)$ of each complex projective space $\boldsymbol{P}$ for which holds an analogue of Yi's uniqueness theorem [Y]: two linearly non-degenerate holomorphic mappings $f, g\colon \boldsymbol{C} \to \boldsymbol{P}$ are equal if $f^{-1}(S_j) = g^{-1}(S_j)$ ($j = 1, 2$) as divisors.

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Manabu Shirosaki. Masatsugu Ueda. "An analogue of Yi's theorem to holomorphic mappings." Proc. Japan Acad. Ser. A Math. Sci. 76 (1) 1 - 3, Jan. 2000. https://doi.org/10.3792/pjaa.76.1