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This book is a collection of articles on abelian varieties and number theory dedicated to Gerhard Frey's 75th birthday. It contains original articles by experts in the area of arithmetic and algebraic geometry.

The articles cover topics on Abelian varieties and finitely generated Galois groups, ranks of Abelian varieties and Mordell-Lang conjecture, Tate-Shafarevich group and isogeny volcanos, endomorphisms of superelliptic Jacobians, obstructions to local-global principles over semi-global fields, Drinfield modular variaties, representations of etale fundamental groups and...