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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/151258

A note on planar real Cremona transformations

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In this note we prove that a polynomial mapping T in two real variables such that its jacobian is constant (the so called planar real Cremona maps) is a bijection between R2 and R2. Let (F,G) be the polynomial components of T. We give a complete global picture of the family of curves F = constant and G = constant.

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LLIBRE, Jaume and SIMÓ, Carles. A note on planar real Cremona transformations. [consulted: 5 of October of 2026]. Available at: https://hdl.handle.net/2445/151258

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