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First Order Algebraic Differential Equations [1980]

1
Differential algebraic function field of one variable
7
Movable singularities
11
Fuchs' theorem
17
Extensions of the coefficient field
22
Briot-Bouquet's theorem
27
Clairaut fields
33
Poincaré fields
42
Analogs of addition formulae for elliptic functions
47
Poincaré fields generated by the constants
52
Poincaré fields of characteristic 0
56
Automorphisms of an elliptic field
69
Differential automorphisms
74
Differential automorphisms of a Poincaré field
78
Riccati fields of characteristic 0
83
Weierstrass points
91
Clairaut fields of characteristic 0
95
Movable singularities in case of characteristic 0
103
Differential Lefschetz principle
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