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Arithmetic Algebraic Geometry
About this Title
Brian Conrad, University of Michigan, Ann Arbor, MI and Karl Rubin, Stanford University, Stanford, CA, Editors
Publication: IAS/Park City Mathematics Series
Publication Year:
2001; Volume 9
ISBNs: 978-0-8218-4448-9 (print); 978-1-4704-3908-8 (online)
DOI: https://doi.org/10.1090/pcms/009
MathSciNet review: MR1860012
MSC: Primary 11-06; Secondary 14-06
Table of Contents
Front/Back Matter
Chapters
- Introduction
- Elliptic curves, modular forms, and applications
- Open questions in arithmetic algebraic geometry
- Lectures on Serreās conjectures
- Deformations of Galois representations
- Introduction to Iwasawa theory for elliptic curves
- Galois cohomology
- The arithmetic of modular forms
- Arithmetic of certain Calabi-Yau varieties and mirror symmetry