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Logarithmic Forms and Diophantine Geometry

There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed;

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Lectures on Logarithmic Algebraic Geometry

This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for;

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Diophantine Geometry

This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which;

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Arakelov Geometry and Diophantine Applications

geometry and diophantine geometry. Based on lectures from a summer school for graduate students, this volume consists of 12 different chapters;

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Heights in Diophantine Geometry

Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a;

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Number Theory with an Emphasis on the Markoff Spectrum

; quadratic forms and their connections with automorphic forms; the modular group and its subgroups; continued fractions; hyperbolic geometry; and the;

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Number Theory with an Emphasis on the Markoff Spectrum

; quadratic forms and their connections with automorphic forms; the modular group and its subgroups; continued fractions; hyperbolic geometry; and the;

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Discriminant Equations In Diophantine Nu

approximation and Diophantine geometry. This book is the first comprehensive account of discriminant equations and their applications. It brings;

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Lectures on Arakelov Geometry

in their proofs of outstanding conjectures in diophantine geometry. This account presents the work of Gillet and Soule, extending Arakelov geometry;

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Diophantine Approximation and Dirichlet Series

of the Hardy-Dirichlet space, and much more. Proofs throughout the book mix Hilbertian geometry, complex and harmonic analysis, number theory;

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Diophantine Approximation and Dirichlet Series

of the Hardy-Dirichlet space, and much more. Proofs throughout the book mix Hilbertian geometry, complex and harmonic analysis, number theory;

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Diophantine Approximation and Abelian Varieties

varieties , Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and;

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Integral Points on Algebraic Varieties

This book is intended to be an introduction to Diophantine Geometry. The central theme is the investigation of the distribution of integral;

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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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Exponential Diophantine Equations

This is a integrated presentation of the theory of exponential diophantine equations. The authors present, in a clear and unified fashion;

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Diophantine Approximation and Dirichlet Series

function, and r-tuples of L functions. The proofs, which mix hilbertian geometry, complex and harmonic analysis, and ergodic theory, are a very;

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Number Theory and Geometry

Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. Ever since antiquity, mathematicians;

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Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67

geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these;

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Analytic Number Theory

, using results from algebraic geometry and the geometry of numbers; the theory of Siegel's zeros and of exceptional characters of L-functions;

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Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces

. Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces is an ideal resource for graduate students and researchers in number;

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Mathematical Sciences Research Institute Publications

Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications;

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Mathematical Sciences Research Institute Publications

Model theory has made substantial contributions to semialgebraic, subanalytic, p-adic, rigid and diophantine geometry. These applications;

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The Algorithmic Resolution of Diophantine Equations

Beginning with a brief introduction to algorithms and diophantine equations, this volume aims to provide a coherent account of the methods;

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The Algorithmic Resolution of Diophantine Equations

Beginning with a brief introduction to algorithms and diophantine equations, this volume aims to provide a coherent account of the methods;

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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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Algebraic Geometry Salt Lake City 2015 (Part 1)

geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the;

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Distribution Theory of Algebraic Numbers

The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals;

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