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Abelian Varieties and Number Theory

Edited by: Moshe Jarden Tel Aviv University, Ramat Aviv, Israel
Tony Shaska Research Institute of Science and Technology, Vlorë, Albania
Available Formats:
Softcover ISBN: 978-1-4704-5207-0
Product Code: CONM/767
List Price: $122.00 MAA Member Price:$109.80
AMS Member Price: $97.60 Electronic ISBN: 978-1-4704-6423-3 Product Code: CONM/767.E List Price:$122.00
MAA Member Price: $109.80 AMS Member Price:$97.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $183.00 MAA Member Price:$164.70
AMS Member Price: $146.40 Click above image for expanded view Abelian Varieties and Number Theory Edited by: Moshe Jarden Tel Aviv University, Ramat Aviv, Israel Tony Shaska Research Institute of Science and Technology, Vlorë, Albania Available Formats:  Softcover ISBN: 978-1-4704-5207-0 Product Code: CONM/767  List Price:$122.00 MAA Member Price: $109.80 AMS Member Price:$97.60
 Electronic ISBN: 978-1-4704-6423-3 Product Code: CONM/767.E
 List Price: $122.00 MAA Member Price:$109.80 AMS Member Price: $97.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$183.00 MAA Member Price: $164.70 AMS Member Price:$146.40
• Book Details

Contemporary Mathematics
Volume: 7672021; 200 pp
MSC: 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 Mordell-Lang conjecture, Tate-Shafarevich group and isogeny volcanoes, endomorphisms of superelliptic Jacobians, obstructions to local-global principles over semi-global 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
• Bo-Hae Im and Michael Larsen - Abelian varieties and finitely generated Galois groups
• Arno Fehm and Sebastian Petersen - Ranks of abelian varieties and the full Mordell-Lang conjecture in dimension one
• Jannis A. Antoniadis and Aristides Kontogeorgis - The group of automorphisms of the Heisenberg curve
• Brendan Creutz and José Felipe Voloch - Tate-Shafarevich 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 Bary-Soroker 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 local-global principles over semi-global 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

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 7672021; 200 pp
MSC: 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 Mordell-Lang conjecture, Tate-Shafarevich group and isogeny volcanoes, endomorphisms of superelliptic Jacobians, obstructions to local-global principles over semi-global 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
• Bo-Hae Im and Michael Larsen - Abelian varieties and finitely generated Galois groups
• Arno Fehm and Sebastian Petersen - Ranks of abelian varieties and the full Mordell-Lang conjecture in dimension one
• Jannis A. Antoniadis and Aristides Kontogeorgis - The group of automorphisms of the Heisenberg curve
• Brendan Creutz and José Felipe Voloch - Tate-Shafarevich 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 Bary-Soroker 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 local-global principles over semi-global 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
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.