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First Order Algebraic Differential Equations A Differential Algebraic Approach / [electronic resource] : edited by Michihiko Matsuda. - VI, 111 p. online resource. - Lecture Notes in Mathematics, 804 0075-8434 ; . - Lecture Notes in Mathematics, 804 .

Differential algebraic function field of one variable -- Movable singularities -- Fuchs' theorem -- Extensions of the coefficient field -- Briot-Bouquet's theorem -- Clairaut fields -- Poincaré fields -- Analogs of addition formulae for elliptic functions -- Poincaré fields generated by the constants -- Poincaré fields of characteristic 0 -- Automorphisms of an elliptic field -- Differential automorphisms -- Differential automorphisms of a Poincaré field -- Riccati fields of characteristic 0 -- Weierstrass points -- Clairaut fields of characteristic 0 -- Movable singularities in case of characteristic 0 -- Differential Lefschetz principle.

ISBN: 9783540393115

Standard No.: 10.1007/BFb0091495 doi

Subjects--Topical Terms:
Global analysis (Mathematics).
Analysis.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515