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First Order Algebraic Differential Equations [1980]
- 1
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Differential algebraic function field of one variable
- 7
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Movable singularities
- 11
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Fuchs' theorem
- 17
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Extensions of the coefficient field
- 22
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Briot-Bouquet's theorem
- 27
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Clairaut fields
- 33
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Poincaré fields
- 42
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Analogs of addition formulae for elliptic functions
- 47
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Poincaré fields generated by the constants
- 52
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Poincaré fields of characteristic 0
- 56
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Automorphisms of an elliptic field
- 69
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Differential automorphisms
- 74
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Differential automorphisms of a Poincaré field
- 78
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Riccati fields of characteristic 0
- 83
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Weierstrass points
- 91
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Clairaut fields of characteristic 0
- 95
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Movable singularities in case of characteristic 0
- 103
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Differential Lefschetz principle