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Uniqueness Theorems for Parametrized Algebraic Curves
Transactions of the American Mathematical Society
Vol. 341, No. 2 (Feb., 1994), pp. 829-840
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2154585
Page Count: 12
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Let L1, ..., Ln be lines in P2 and let f, g: P1 → P2 be nonconstant algebraic maps. For certain configurations of lines L1, ..., Ln, the hypothesis that, for i = 1, ..., n, the inverse images f-1(Li) and g-1(Li) are equal, not necessarily with the same multiplicities, implies that f is identically equal to g.
Transactions of the American Mathematical Society © 1994 American Mathematical Society