Lüroth's theorem in differential fields (Q1868954)

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scientific article; zbMATH DE number 1895577
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Lüroth's theorem in differential fields
scientific article; zbMATH DE number 1895577

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    Lüroth's theorem in differential fields (English)
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    2002
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    A constructive proof of the differential analogue of the Lüroth theorem is presented. A method for finding the inversion maps for general differential rational parametric equations is given. As a consequence, it is proved that a differential rational curve always has a set of proper parametric equations.
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    differential fields
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    Lüroth's theorem
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    differential parametric equations
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    differential curves
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    proper differential equation
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