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Arithmetic Geometry Lecture Notes

Arithmetic Geometry Lecture Notes

Arithmetic Geometry Lecture Notes

This lecture note explains everything about Arithmetic Geometry.

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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, Fermat’s Last Theorem, Jacobians of curves.

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Modular forms and arithmetic geometry by Stephen S. Kudla

Modular forms and arithmetic geometry by Stephen S. Kudla

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Arithmetic Geometry Lecture Notes

Arithmetic Geometry Lecture Notes

This lecture note explains everything about Arithmetic Geometry.

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Introduction to Arithmetic Geometry

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Major topics topics coverd are: Absolute values on fields, Ostrowski's classification of absolute values on U, Cauchy sequences and completion, Inverse limits,Properties of Zp, The field of P -Adic numbers, P-adic expansions, Hensel's lemma, Finite fields, Profinite groups, Affine varieties, Morphisms and rational maps, Quadratic forms, Rational points on conics and Valuations on the function field of a curve.

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