| Softcover ISBN: | 978-1-4704-5207-0 |
| Product Code: | CONM/767 |
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| eBook 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 |
| Softcover ISBN: | 978-1-4704-5207-0 |
| eBook: ISBN: | 978-1-4704-6423-3 |
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| List Price: | $244.00 $183.00 |
| MAA Member Price: | $219.60 $164.70 |
| AMS Member Price: | $195.20 $146.40 |
| 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 |
| eBook 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 |
| Softcover ISBN: | 978-1-4704-5207-0 |
| eBook ISBN: | 978-1-4704-6423-3 |
| Product Code: | CONM/767.B |
| List Price: | $244.00 $183.00 |
| MAA Member Price: | $219.60 $164.70 |
| AMS Member Price: | $195.20 $146.40 |
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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 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.
ReadershipGraduate students and research mathematicians interested in algebraic geometry and number theory.
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Table of Contents
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Articles
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Bo-Hae Im and Michael Larsen — Abelian varieties and finitely generated Galois groups
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Arno Fehm and Sebastian Petersen — Ranks of abelian varieties and the full Mordell-Lang conjecture in dimension one
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Jannis A. Antoniadis and Aristides Kontogeorgis — The group of automorphisms of the Heisenberg curve
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Brendan Creutz and José Felipe Voloch — Tate-Shafarevich groups of constant elliptic curves and isogeny volcanoes
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Yuri G. Zarhin — Endomorphisms of ordinary superelliptic Jacobians
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Barry Green and Peter Roquette — An introduction to Deuring’s theory of constant reductions
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Damian Rössler — Purely inseparable points on curves
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Akio Tamagawa — Correspondences on curves in positive characteristic
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Arno Fehm, Dan Haran and Elad Paran — The inverse Galois problem over $\mathbb {C}(z)$
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Lior Bary-Soroker and Alexei Entin — Explicit Hilbert’s irreducibility theorem in function fields
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David Harbater, Julia Hartmann, Valentijn Karemaker and Florian Pop — A comparison between obstructions to local-global principles over semi-global fields
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Gebhard Böckle and Florian Breuer — The generic monodromy of Drinfeld modular varieties in special characteristic
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Aharon Razon — Symmetric tensor products of octonion algebras
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Anna Cadoret — Representations of étale fundamental groups and specialization of algebraic cycles
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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
