G-Functions and Geometry
A Publication of the Max-Planck-Institut für Mathematik, Bonn
Published on 2. July 2013
XII, 232 pages
978-3-663-14108-2 (ISBN)
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01/1989
Vieweg+Teubner Verlag
€64.99
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Content
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.
