"...A nice feature of the book [is] that at various points the authors provide examples, or rather counterexamples, that clearly show what can go wrong...This is a nicely-written book [that] studies algebraic differential modules in several variables." --Mathematical Reviews
A Publication of the Max-Planck-Institut für Mathematik, Bonn
InhaltsverzeichnisOne: What are G-functions?.I: G-functions.II: Geometric differential equations.Two: G-functions and differential equations.III: Fuchsian differential systems: formal theory.IV: Fuchsian differential systems: arithmetic theory.V: Local methods.VI: Global methods.Three: Diophantine questions.VII: Independence of values of G-functions.VIII: A criterium of rationality.Four: G-functions in arithmetic algebraic geometry.IX: Towards Grothendieck’s conjecture on periods of algebraic manifolds.X: Endomorphisms in the fibers of an Abelian pencil.Glossary of notations.