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A Generalized Arithmetic Geometric Mean

A Generalized Arithmetic Geometric Mean

A Generalized Arithmetic Geometric Mean

This note explains the following topics: Classical arithmetic geometry, The Convergence Theorem, The link with the classical AGM sequence, Point counting on elliptic curves, A theta structure induced by Frobenius.

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s95 Pages
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A Generalized Arithmetic Geometric Mean

A Generalized Arithmetic Geometric Mean

This note explains the following topics: Classical arithmetic geometry, The Convergence Theorem, The link with the classical AGM sequence, Point counting on elliptic curves, A theta structure induced by Frobenius.

s95 Pages
Algebraic and Arithmetic Geometry

Algebraic and Arithmetic Geometry

This note covers the following topics: Rational points on varieties, Heights, Arakelov Geometry, Abelian Varieties, The Brauer-Manin Obstruction, Birational Geomery, Statistics of Rational Points, Zeta functions.

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Introduction to Arithmetic Geometry by Andrew V. Sutherland

Introduction to Arithmetic Geometry by Andrew V. Sutherland

This note explains the following topics: Diophantine equations , Algebraic curves, The projective plane , Genus, Birational equivalence, The elliptic curve group law , Rational points on elliptic curves, The Sato-Tate conjecture, The Birch and Swinnerton-Dyer conjecture, Fermatís Last Theorem, Jacobians of curves.

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Arithmetic Geometry Lecture Notes

Arithmetic Geometry Lecture Notes

This lecture note explains everything about Arithmetic Geometry.

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