G-Functions and Geometry

Inhaltsverzeichnis

• One: 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.