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Prolegomena To A Middlebrow Arithmetic Of Curves Of Genus 2

insights into the arithmetic of curves of genus 2.;

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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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London Mathematical Society Lecture Note Series

insights into the arithmetic of curves of genus 2.;

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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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The Arithmetic of Elliptic Curves

^2 = X^3 + DX. The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving;

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Geometric Invariant Theory for Polarized Curves

of degree d and genus g in a projective space of dimension d-g, as d decreases with respect to g. We prove that the first three values of d at which;

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Flat Rank Two Vector Bundles on Genus Two Curves

The authors study the moduli space of trace-free irreducible rank 2 connections over a curve of genus 2 and the forgetful map towards the;

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Arithmetic Of Elliptic Curves

Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.;

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Arithmetic Geometry

For thirty years, the biennial international conference AGC$^2$T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought;

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The Arithmetic of Elliptic Curves

Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.;

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Algebraic Geometry & Arithmetic Curves

This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes;

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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences;

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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves

Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences;

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Theory of Algebraic Surfaces

arithmetic genus. It also discusses the behavior of the pluri-canonical maps of surfaces of general type as a practical application of the general;

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Elliptic Curves and Big Galois Representations

The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a;

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Rational Algebraic Curves

algebraic curve and, in the positive case, the computation of a good rational parametrization. This amounts to determining the genus of a curve: its;

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Advanced Topics in the Arithmetic of Elliptic Curves

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that the theory;

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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;

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Rational Points and Arithmetic of Fundamental Groups

open today in 2012, its study has revealed interesting arithmetic for curves and opened connections, for example, to the question whether the;

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Interpolation for Normal Bundles of General Curves

$, of degree $d$ and genus $g$, passing through $p_1, p_2, ldots , p_n$. In this paper, the authors give a complete answer to this question for curves;

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Arithmetic Theory of Elliptic Curves: Lectures Given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)Held in Cetaro, Italy

, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and;

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A Classical Introduction to Modern Number Theory

proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic;

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A Classical Introduction to Modern Number Theory

proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic;

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London Mathematical Society Lecture Note Series

algebraic curves over finite fields with many rational points (relative to the genus). Recently, the authors discovered another important;

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Algebraic Curves and Cryptography

of algebraic curves. All of the articles in this volume are centered on the theme of point counting and explicit arithmetic on the Jacobians of curves;

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Moduli Spaces and Arithmetic Dynamics

of projective space. (2) Dynatomic modular curves for the space of quadratic polynomials. (3) The theory of canonical heights associated to dynamical;

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Number Theory Related to Modular Curves

distinguished number theorist from Chuo University in Tokyo. Momose, who was a student of Yasutaka Ihara, made important contributions to the theory;

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