G-functions And Geometry: A Publication Of The Max-planck-institut Für Mathematik, Bonn (aspects Of Mathematics) (german Edition)

Front Matter....Pages I-XII Introduction....Pages 1-10 Front Matter....Pages 11-11 G-Functions....Pages 12-37 Geometric Differential Equations....Pages 38-44 Front Matter....Pages 45-45 Fuchsian Differential Systems: Formal Theory....Pages 46-60 Fuchsian Differential Systems: Arithmetic Theory....Pages 61-86 Local Methods....Pages 87-111 Global Methods....Pages 112-126 Front Matter....Pages 127-127 Independence of Values of G-Functions....Pages 128-146 A Criterium of Rationality....Pages 147-161 Front Matter....Pages 162-162 Towards Grothendieck’s Conjecture on Periods of Algebraic Manifolds....Pages 163-199 Endomorphisms in the Fibers of an Abelian Pencil....Pages 200-219 Back Matter....Pages 220-232