G-functions and geometry

Author(s)

Bibliographic Information

G-functions and geometry

Yves André

(Aspects of mathematics = Aspekte der Mathematik, E 13)

F. Vieweg, c1989

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Note

"A Publication of the Max-Planck-Institut für Mathematik, Bonn."

Adviser: Friedrich Hirzebruch

Publisher varies: Springer Fachmedien Wiesbaden GmbH

Description and Table of Contents

Table of Contents

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.

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