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O Minimality & Diophantine Geometry

varieties, and Jacob Tsimerman's proof via o-minimality of Ax's theorem on the functional case of Schanuel's conjecture.;

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Mathematical Sciences Research Institute Publications

spectrum of contemporary model theory (stability, simplicity, o-minimality and variations) is covered and diverse areas of geometry (algebraic;

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Mathematical Sciences Research Institute Publications

spectrum of contemporary model theory (stability, simplicity, o-minimality and variations) is covered and diverse areas of geometry (algebraic;

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Non-Archimedean Tame Topology and Stably Dominated Types (AM-192)

many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness;

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Non-Archimedean Tame Topology and Stably Dominated Types (AM-192)

many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness;

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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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Lecture Notes on o-Minimal Structures and Real Analytic Geometry

This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to;

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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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London Mathematical Society Lecture Note Series Model Theory with Applications to Algebra and Analysis

theory and complex analytic geometry; o-minimality; model theory and noncommutative geometry; definable groups of finite dimension; Hilbert's;

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Model Theory with Applications to Algebra and Analysis, Volume 2

theory and complex analytic geometry; o-minimality; model theory and non-commutative geometry; definable groups of finite dimension; Hilbert's;

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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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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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