Alexandru Buium, "Differential Function Fields and Moduli of Algebraic Varieties"
English | 1986 | ISBN: 3540171940 | PDF | pages: 158 | 3,5 mb
Our background consists of two theories each having quite classical roots namely:
A) The theory of algebraic differential equations (ADE's) with no movable singularity and
B) The Galois theory of ADE'e.
The first theory was initiated by Fucks, Poincare, Peinleve and has been given modern treatments through the work of several people (for a folioties-theoretic approach see Grerd-Sec and 3ouanolou [D1] while for a differential a!gebraic approach in the one dimensional case see Hatsuds LHtd. The second theory goes back to Plcard and vessiot end reached e very elegant end general form through the work of Kolchin Oln] i 6n , The primary goal of this research monograph is to relate the two theories above this will turn out to be profitable for both ' of them. To establish the link between A) and B)
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