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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

of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic;

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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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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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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

Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry in the sense of Grothendieck with;

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Diophantine Approximation and Abelian Varieties

algebraic geometry. Each chapter is based on an instructional lecture given by its author ata special conference for graduate;

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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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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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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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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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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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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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Algebraic Geometry Salt Lake City 2015 (Part 1)

This is Part 1 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting;

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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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Distribution Theory of Algebraic Numbers

list of references. From the contents: Field extensions * Algebraic numbers * Algebraic geometry * Height functions * The abc-conjecture;

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Surveys in Geometry and Number Theory

specialists who are associated with strong research groups in Moscow and St. Petersburg in the fields of algebraic geometry and number theory. Their;

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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 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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Introduction To Diophantine Equations

This problem-solving book is an introduction to the study of Diophantine equations, a class of equat;...

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Metric Diophantine Approximation on Manifolds

This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean;...

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Diophantine Analysis

While its roots reach back to the third century, diophantine analysis continues to be an extremely a;...

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Diophantine Analysis

While its roots reach back to the third century, diophantine analysis continues to be an extremely a;...

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Diophant Approx

what is needed from the geometry of numbers and linear algebra. Some chapters require knowledge of elements of Lebesgue theory and algebraic;

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