First Order Algebraic Differential Equations: A Differential Algebraic Approach
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Description
Differential algebraic function field of one variable....Pages 1-6 Movable singularities....Pages 7-10 Fuchs' theorem....Pages 11-16 Extensions of the coefficient field....Pages 17-21 Briot-Bouquet's theorem....Pages 22-26 Clairaut fields....Pages 27-32 Poincaré fields....Pages 33-41 Analogs of addition formulae for elliptic functions....Pages 42-46 Poincaré fields generated by the constants....Pages 47-51 Poincaré fields of characteristic 0....Pages 52-55 Automorphisms of an elliptic field....Pages 56-68 Differential automorphisms....Pages 69-73 Differential automorphisms of a Poincaré field....Pages 74-77 Riccati fields of characteristic 0....Pages 78-82 Weierstrass points....Pages 83-90 Clairaut fields of characteristic 0....Pages 91-94 Movable singularities in case of characteristic 0....Pages 95-102 Differential Lefschetz principle....Pages 103-109
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