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Rational Points and Arithmetic of Fundamental Groups

of sections of the fundamental group extension of an algebraic variety. Then, arithmetic assumptions on the base field are imposed and the local-to;

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The Arithmetic of Dynamical Systems

of rational and algebraic points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that;

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Arithmetic and Geometry

The 'Arithmetic and Geometry' trimester, held at the Hausdorff Research Institute for Mathematics in Bonn, focussed on recent work on;

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Units in Skew Fields

This book is devoted to a study of the unit groups of orders in skew fields, finite dimensional and central over the rational field; it;

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London Mathematical Society Lecture Note Series

homotopy approach to the arithmetic of rational points. Furthermore, the reader will find a collection of research articles on algebraic groups and;

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Rational Points on Varieties

conjectures, and the Brauer-Manin and descent obstructions. A final chapter applies all these to study the arithmetic of surfaces. The down-to;

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Arithmetic of Higher-Dimensional Algebraic Varieties

study of rational and integral points. This book will be very valuable for researchers from these various fields who have an interest;

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Analytic Methods in Arithmetic Geometry

, Tucson, AZ. In the last decade or so, analytic methods have had great success in answering questions in arithmetic geometry and number theory;

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The Absolute Galois Group of a Semi-Local Field

(and other) extensions of the rational numbers as free products of the free profinite group on countably many generators and local Galois;

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Arithmetic, Rational and Practical. ... Consisting of Three Parts, viz. I. Vulgar Arithmetic II. Decimal Arithmetic. III Practical Arithmetic. By John Mair. A.M. ... of 3; Volume 1

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Number Theory and Algebraic Geometry

in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse;

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Number Theory and Geometry

arithmetic geometry. This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the;

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Arithmetic and Geometry Around Galois Theory

team of Galatasaray University (Istanbul): Geometry and Arithmetic of Moduli Spaces of Coverings (2008) and Geometry and Arithmetic around;

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Brauer Groups and Obstruction Problems

of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic;

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Potential Theory and Dynamics on the Berkovich Projective Line

analytic spaces and to potential theory and rational iteration on the Berkovich line, the book contains applications to arithmetic geometry and;

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Galois Representations in Arithmetic Algebraic Geometry

title was interpreted loosely and the symposium covered recent developments on the interface between algebraic number theory and arithmetic;

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Cambridge Tracts in Mathematics

The classical descent on curves of genus one can be interpreted as providing conditions on the set of rational points of an algebraic;

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Introduction to Arithmetic Groups

for fundamental results on reduction theory, which is crucial in the study of discrete subgroups of Lie groups and the corresponding;

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Modular Forms and Special Cycles on Shimura Curves. (AM-161)

divisors and zero-cycles, on the arithmetic surface M attached to a Shimura curve M over the field of rational numbers. These generating;

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Shimura Varieties

This is the second volume of a series of mainly expository articles on the arithmetic theory of automorphic forms. It forms a sequel to On;

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Arithmetic Of Elliptic Curves

. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry;

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Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

Arithmetic Geometry, held on January 8, 2016, in Seattle, Washington. Algebraic curves and their fibrations have played a major role in both;

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Class Groups of Number Fields and Related Topics

and Related Topics, held at Harish-Chandra Research Institute, Allahabad, India, on September 4-7, 2017. It discusses the fundamental;

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The Arithmetic of Elliptic Curves

. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry;

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The Large Sieve and Its Applications

of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational;

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Prolegomena To A Middlebrow Arithmetic Of Curves Of Genus 2

; much of the material here is entirely new, and none has appeared in book form before. Included is an explicit treatment of the Jacobian, which;

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Number Theory Related to Modular Curves

of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian;

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