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Product Code:  CONM/767 
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Electronic ISBN:  9781470464233 
Product Code:  CONM/767.E 
List Price:  $122.00 
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Book DetailsContemporary MathematicsVolume: 767; 2021; 200 ppMSC: Primary 14; 11;
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 MordellLang conjecture, TateShafarevich group and isogeny volcanoes, endomorphisms of superelliptic Jacobians, obstructions to localglobal principles over semiglobal fields, Drinfeld modular varieties, representations of etale fundamental groups and specialization of algebraic cycles, Deuring's theory of constant reductions, etc.
The book will be a valuable resource to graduate students and experts working on Abelian varieties and related areas.ReadershipGraduate students and research mathematicians interested in algebraic geometry and number theory.

Table of Contents

Articles

BoHae Im and Michael Larsen  Abelian varieties and finitely generated Galois groups

Arno Fehm and Sebastian Petersen  Ranks of abelian varieties and the full MordellLang conjecture in dimension one

Jannis A. Antoniadis and Aristides Kontogeorgis  The group of automorphisms of the Heisenberg curve

Brendan Creutz and José Felipe Voloch  TateShafarevich groups of constant elliptic curves and isogeny volcanoes

Yuri G. Zarhin  Endomorphisms of ordinary superelliptic Jacobians

Barry Green and Peter Roquette  An introduction to Deuring’s theory of constant reductions

Damian Rössler  Purely inseparable points on curves

Akio Tamagawa  Correspondences on curves in positive characteristic

Arno Fehm, Dan Haran and Elad Paran  The inverse Galois problem over $\mathbb {C}(z)$

Lior BarySoroker and Alexei Entin  Explicit Hilbert’s irreducibility theorem in function fields

David Harbater, Julia Hartmann, Valentijn Karemaker and Florian Pop  A comparison between obstructions to localglobal principles over semiglobal fields

Gebhard Böckle and Florian Breuer  The generic monodromy of Drinfeld modular varieties in special characteristic

Aharon Razon  Symmetric tensor products of octonion algebras

Anna Cadoret  Representations of étale fundamental groups and specialization of algebraic cycles


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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 MordellLang conjecture, TateShafarevich group and isogeny volcanoes, endomorphisms of superelliptic Jacobians, obstructions to localglobal principles over semiglobal fields, Drinfeld modular varieties, representations of etale fundamental groups and specialization of algebraic cycles, Deuring's theory of constant reductions, etc.
The book will be a valuable resource to graduate students and experts working on Abelian varieties and related areas.
Graduate students and research mathematicians interested in algebraic geometry and number theory.

Articles

BoHae Im and Michael Larsen  Abelian varieties and finitely generated Galois groups

Arno Fehm and Sebastian Petersen  Ranks of abelian varieties and the full MordellLang conjecture in dimension one

Jannis A. Antoniadis and Aristides Kontogeorgis  The group of automorphisms of the Heisenberg curve

Brendan Creutz and José Felipe Voloch  TateShafarevich groups of constant elliptic curves and isogeny volcanoes

Yuri G. Zarhin  Endomorphisms of ordinary superelliptic Jacobians

Barry Green and Peter Roquette  An introduction to Deuring’s theory of constant reductions

Damian Rössler  Purely inseparable points on curves

Akio Tamagawa  Correspondences on curves in positive characteristic

Arno Fehm, Dan Haran and Elad Paran  The inverse Galois problem over $\mathbb {C}(z)$

Lior BarySoroker and Alexei Entin  Explicit Hilbert’s irreducibility theorem in function fields

David Harbater, Julia Hartmann, Valentijn Karemaker and Florian Pop  A comparison between obstructions to localglobal principles over semiglobal fields

Gebhard Böckle and Florian Breuer  The generic monodromy of Drinfeld modular varieties in special characteristic

Aharon Razon  Symmetric tensor products of octonion algebras

Anna Cadoret  Representations of étale fundamental groups and specialization of algebraic cycles