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Arithmetic and Geometry
Arithmetic and Geometry presents highlights of recent work in arithmetic algebraic geometry by some of the world's leading mathematicians. Together, these 2016 lectures—which were …
Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise …
The Arithmetic of Polynomial Dynamical Pairs
New mathematical research in arithmetic dynamicsIn The Arithmetic of Polynomial Dynamical Pairs, Charles Favre and Thomas Gauthier present new mathematical research in the field of …
Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of …
Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108
This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study of the moduli spaces began with Jacobi's …
Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67
In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective …