Uniqueness theorems for parametrized algebraic curves
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- by Peter Hall PDF
- Trans. Amer. Math. Soc. 341 (1994), 829-840 Request permission
Abstract:
Let ${L_1}, \ldots ,{L_n}$ be lines in ${\mathbb {P}^2}$ and let $f,g:{\mathbb {P}^1} \to {\mathbb {P}^2}$ be nonconstant algebraic maps. For certain configurations of lines ${L_1}, \ldots ,{L_n}$, the hypothesis that, for $i = 1, \ldots ,n$, the inverse images ${f^{ - 1}}({L_i})$ and ${g^{ - 1}}({L_i})$ are equal, not necessarily with the same multiplicities, implies that $f$ is identically equal to $g$.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 341 (1994), 829-840
- MSC: Primary 32H25; Secondary 14E05, 32H04
- DOI: https://doi.org/10.1090/S0002-9947-1994-1144014-7
- MathSciNet review: 1144014