G-functions and geometry

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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.